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Finding the Fourth Proportional to 2,655.30, 3,983.22 and 707.70

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Solution

The fourth proportional to 2,655.30, 3,983.22 and 707.70 is: 1,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.30 : 3,983.22 = 707.70 : x
  2. Step 2: Convert to fraction form
    2,655.30/3,983.22 = 707.70/x
  3. Step 3: Cross multiply
    2,655.30x = 3,983.22 × 707.70
  4. Step 4: Simplify right side
    2,655.30x = 2,818,924.79
  5. Step 5: Solve for x
    x = 2,818,924.79/2,655.30
  6. Step 6: Final answer
    x = 1,061.62

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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.