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Finding the Fourth Proportional to 2,488.86, 3,732.61 and 928.80

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Solution

The fourth proportional to 2,488.86, 3,732.61 and 928.80 is: 1,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.86 : 3,732.61 = 928.80 : x
  2. Step 2: Convert to fraction form
    2,488.86/3,732.61 = 928.80/x
  3. Step 3: Cross multiply
    2,488.86x = 3,732.61 × 928.80
  4. Step 4: Simplify right side
    2,488.86x = 3,466,848.17
  5. Step 5: Solve for x
    x = 3,466,848.17/2,488.86
  6. Step 6: Final answer
    x = 1,392.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.