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Finding the Fourth Proportional to 1,425.86, 1,966.56 and 928.66

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Solution

The fourth proportional to 1,425.86, 1,966.56 and 928.66 is: 1,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.86 : 1,966.56 = 928.66 : x
  2. Step 2: Convert to fraction form
    1,425.86/1,966.56 = 928.66/x
  3. Step 3: Cross multiply
    1,425.86x = 1,966.56 × 928.66
  4. Step 4: Simplify right side
    1,425.86x = 1,826,265.61
  5. Step 5: Solve for x
    x = 1,826,265.61/1,425.86
  6. Step 6: Final answer
    x = 1,280.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.