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Finding the Fourth Proportional to 2,527.92, 3,798.72 and 2,385.36

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Solution

The fourth proportional to 2,527.92, 3,798.72 and 2,385.36 is: 3,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.92 : 3,798.72 = 2,385.36 : x
  2. Step 2: Convert to fraction form
    2,527.92/3,798.72 = 2,385.36/x
  3. Step 3: Cross multiply
    2,527.92x = 3,798.72 × 2,385.36
  4. Step 4: Simplify right side
    2,527.92x = 9,061,314.74
  5. Step 5: Solve for x
    x = 9,061,314.74/2,527.92
  6. Step 6: Final answer
    x = 3,584.49

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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.