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Finding the Fourth Proportional to 1,384.39, 2,071.80 and 857.08

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Solution

The fourth proportional to 1,384.39, 2,071.80 and 857.08 is: 1,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.39 : 2,071.80 = 857.08 : x
  2. Step 2: Convert to fraction form
    1,384.39/2,071.80 = 857.08/x
  3. Step 3: Cross multiply
    1,384.39x = 2,071.80 × 857.08
  4. Step 4: Simplify right side
    1,384.39x = 1,775,687.99
  5. Step 5: Solve for x
    x = 1,775,687.99/1,384.39
  6. Step 6: Final answer
    x = 1,282.65

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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.