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Finding the Fourth Proportional to 1,975.43, 2,963.18 and 588.85

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Solution

The fourth proportional to 1,975.43, 2,963.18 and 588.85 is: 883.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.43 : 2,963.18 = 588.85 : x
  2. Step 2: Convert to fraction form
    1,975.43/2,963.18 = 588.85/x
  3. Step 3: Cross multiply
    1,975.43x = 2,963.18 × 588.85
  4. Step 4: Simplify right side
    1,975.43x = 1,744,862.61
  5. Step 5: Solve for x
    x = 1,744,862.61/1,975.43
  6. Step 6: Final answer
    x = 883.28

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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.