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Finding the Fourth Proportional to 2,572.20, 3,857.49 and 928.53

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Solution

The fourth proportional to 2,572.20, 3,857.49 and 928.53 is: 1,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.20 : 3,857.49 = 928.53 : x
  2. Step 2: Convert to fraction form
    2,572.20/3,857.49 = 928.53/x
  3. Step 3: Cross multiply
    2,572.20x = 3,857.49 × 928.53
  4. Step 4: Simplify right side
    2,572.20x = 3,581,795.19
  5. Step 5: Solve for x
    x = 3,581,795.19/2,572.20
  6. Step 6: Final answer
    x = 1,392.50

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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.