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Finding the Fourth Proportional to 2,738.61, 4,098.50 and 2,332.50

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Solution

The fourth proportional to 2,738.61, 4,098.50 and 2,332.50 is: 3,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.61 : 4,098.50 = 2,332.50 : x
  2. Step 2: Convert to fraction form
    2,738.61/4,098.50 = 2,332.50/x
  3. Step 3: Cross multiply
    2,738.61x = 4,098.50 × 2,332.50
  4. Step 4: Simplify right side
    2,738.61x = 9,559,732.97
  5. Step 5: Solve for x
    x = 9,559,732.97/2,738.61
  6. Step 6: Final answer
    x = 3,490.72

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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.