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Finding the Fourth Proportional to 1,942.71, 2,914.51 and 710.12

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Solution

The fourth proportional to 1,942.71, 2,914.51 and 710.12 is: 1,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.71 : 2,914.51 = 710.12 : x
  2. Step 2: Convert to fraction form
    1,942.71/2,914.51 = 710.12/x
  3. Step 3: Cross multiply
    1,942.71x = 2,914.51 × 710.12
  4. Step 4: Simplify right side
    1,942.71x = 2,069,640.29
  5. Step 5: Solve for x
    x = 2,069,640.29/1,942.71
  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.