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Finding the Fourth Proportional to 1,943.16, 2,914.25 and 710.34

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Solution

The fourth proportional to 1,943.16, 2,914.25 and 710.34 is: 1,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.16 : 2,914.25 = 710.34 : x
  2. Step 2: Convert to fraction form
    1,943.16/2,914.25 = 710.34/x
  3. Step 3: Cross multiply
    1,943.16x = 2,914.25 × 710.34
  4. Step 4: Simplify right side
    1,943.16x = 2,070,104.79
  5. Step 5: Solve for x
    x = 2,070,104.79/1,943.16
  6. Step 6: Final answer
    x = 1,065.33

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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.