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Finding the Fourth Proportional to 2,710.01, 4,063.05 and 1,830.33

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Solution

The fourth proportional to 2,710.01, 4,063.05 and 1,830.33 is: 2,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.01 : 4,063.05 = 1,830.33 : x
  2. Step 2: Convert to fraction form
    2,710.01/4,063.05 = 1,830.33/x
  3. Step 3: Cross multiply
    2,710.01x = 4,063.05 × 1,830.33
  4. Step 4: Simplify right side
    2,710.01x = 7,436,736.87
  5. Step 5: Solve for x
    x = 7,436,736.87/2,710.01
  6. Step 6: Final answer
    x = 2,744.17

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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.