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Finding the Fourth Proportional to 3,124.46, 4,686.96 and 1,275.70

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Solution

The fourth proportional to 3,124.46, 4,686.96 and 1,275.70 is: 1,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.46 : 4,686.96 = 1,275.70 : x
  2. Step 2: Convert to fraction form
    3,124.46/4,686.96 = 1,275.70/x
  3. Step 3: Cross multiply
    3,124.46x = 4,686.96 × 1,275.70
  4. Step 4: Simplify right side
    3,124.46x = 5,979,125.06
  5. Step 5: Solve for x
    x = 5,979,125.06/3,124.46
  6. Step 6: Final answer
    x = 1,913.65

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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.