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Finding the Fourth Proportional to 2,314.50, 3,471.49 and 583.13

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Solution

The fourth proportional to 2,314.50, 3,471.49 and 583.13 is: 874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.50 : 3,471.49 = 583.13 : x
  2. Step 2: Convert to fraction form
    2,314.50/3,471.49 = 583.13/x
  3. Step 3: Cross multiply
    2,314.50x = 3,471.49 × 583.13
  4. Step 4: Simplify right side
    2,314.50x = 2,024,329.96
  5. Step 5: Solve for x
    x = 2,024,329.96/2,314.50
  6. Step 6: Final answer
    x = 874.63

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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.