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Finding the Fourth Proportional to 1,943.20, 2,914.80 and 710.65

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Solution

The fourth proportional to 1,943.20, 2,914.80 and 710.65 is: 1,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.20 : 2,914.80 = 710.65 : x
  2. Step 2: Convert to fraction form
    1,943.20/2,914.80 = 710.65/x
  3. Step 3: Cross multiply
    1,943.20x = 2,914.80 × 710.65
  4. Step 4: Simplify right side
    1,943.20x = 2,071,402.62
  5. Step 5: Solve for x
    x = 2,071,402.62/1,943.20
  6. Step 6: Final answer
    x = 1,065.98

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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.