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Finding the Fourth Proportional to 2,314.64, 3,471.92 and 583.24

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Solution

The fourth proportional to 2,314.64, 3,471.92 and 583.24 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.64 : 3,471.92 = 583.24 : x
  2. Step 2: Convert to fraction form
    2,314.64/3,471.92 = 583.24/x
  3. Step 3: Cross multiply
    2,314.64x = 3,471.92 × 583.24
  4. Step 4: Simplify right side
    2,314.64x = 2,024,962.62
  5. Step 5: Solve for x
    x = 2,024,962.62/2,314.64
  6. Step 6: Final answer
    x = 874.85

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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.