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Finding the Fourth Proportional to 2,315.28, 3,472.76 and 583.90

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Solution

The fourth proportional to 2,315.28, 3,472.76 and 583.90 is: 875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.28 : 3,472.76 = 583.90 : x
  2. Step 2: Convert to fraction form
    2,315.28/3,472.76 = 583.90/x
  3. Step 3: Cross multiply
    2,315.28x = 3,472.76 × 583.90
  4. Step 4: Simplify right side
    2,315.28x = 2,027,744.56
  5. Step 5: Solve for x
    x = 2,027,744.56/2,315.28
  6. Step 6: Final answer
    x = 875.81

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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.