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Finding the Fourth Proportional to 2,925.25, 4,387.86 and 952.52

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Solution

The fourth proportional to 2,925.25, 4,387.86 and 952.52 is: 1,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.25 : 4,387.86 = 952.52 : x
  2. Step 2: Convert to fraction form
    2,925.25/4,387.86 = 952.52/x
  3. Step 3: Cross multiply
    2,925.25x = 4,387.86 × 952.52
  4. Step 4: Simplify right side
    2,925.25x = 4,179,502.47
  5. Step 5: Solve for x
    x = 4,179,502.47/2,925.25
  6. Step 6: Final answer
    x = 1,428.77

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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.