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Finding the Fourth Proportional to 1,943.38, 2,914.08 and 710.47

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Solution

The fourth proportional to 1,943.38, 2,914.08 and 710.47 is: 1,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.38 : 2,914.08 = 710.47 : x
  2. Step 2: Convert to fraction form
    1,943.38/2,914.08 = 710.47/x
  3. Step 3: Cross multiply
    1,943.38x = 2,914.08 × 710.47
  4. Step 4: Simplify right side
    1,943.38x = 2,070,366.42
  5. Step 5: Solve for x
    x = 2,070,366.42/1,943.38
  6. Step 6: Final answer
    x = 1,065.34

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