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Finding the Fourth Proportional to 3,124.04, 4,684.92 and 932.84

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Solution

The fourth proportional to 3,124.04, 4,684.92 and 932.84 is: 1,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.04 : 4,684.92 = 932.84 : x
  2. Step 2: Convert to fraction form
    3,124.04/4,684.92 = 932.84/x
  3. Step 3: Cross multiply
    3,124.04x = 4,684.92 × 932.84
  4. Step 4: Simplify right side
    3,124.04x = 4,370,280.77
  5. Step 5: Solve for x
    x = 4,370,280.77/3,124.04
  6. Step 6: Final answer
    x = 1,398.92

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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.