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Finding the Fourth Proportional to 2,314.38, 3,471.63 and 583

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Solution

The fourth proportional to 2,314.38, 3,471.63 and 583 is: 874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.38 : 3,471.63 = 583 : x
  2. Step 2: Convert to fraction form
    2,314.38/3,471.63 = 583/x
  3. Step 3: Cross multiply
    2,314.38x = 3,471.63 × 583
  4. Step 4: Simplify right side
    2,314.38x = 2,023,960.29
  5. Step 5: Solve for x
    x = 2,023,960.29/2,314.38
  6. Step 6: Final answer
    x = 874.52

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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.