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Finding the Fourth Proportional to 3,314.38, 4,972.17 and 1,583

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Solution

The fourth proportional to 3,314.38, 4,972.17 and 1,583 is: 2,374.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.38 : 4,972.17 = 1,583 : x
  2. Step 2: Convert to fraction form
    3,314.38/4,972.17 = 1,583/x
  3. Step 3: Cross multiply
    3,314.38x = 4,972.17 × 1,583
  4. Step 4: Simplify right side
    3,314.38x = 7,870,945.11
  5. Step 5: Solve for x
    x = 7,870,945.11/3,314.38
  6. Step 6: Final answer
    x = 2,374.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.