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Finding the Fourth Proportional to 1,857,362.06, 2,786,043.69 and 1,226,128.25

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Solution

The fourth proportional to 1,857,362.06, 2,786,043.69 and 1,226,128.25 is: 1,839,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,362.06 : 2,786,043.69 = 1,226,128.25 : x
  2. Step 2: Convert to fraction form
    1,857,362.06/2,786,043.69 = 1,226,128.25/x
  3. Step 3: Cross multiply
    1,857,362.06x = 2,786,043.69 × 1,226,128.25
  4. Step 4: Simplify right side
    1,857,362.06x = 3,416,046,860,113.02
  5. Step 5: Solve for x
    x = 3,416,046,860,113.02/1,857,362.06
  6. Step 6: Final answer
    x = 1,839,192.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.