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Finding the Fourth Proportional to 2,854.68, 4,276.10 and 1,463.82

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Solution

The fourth proportional to 2,854.68, 4,276.10 and 1,463.82 is: 2,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.68 : 4,276.10 = 1,463.82 : x
  2. Step 2: Convert to fraction form
    2,854.68/4,276.10 = 1,463.82/x
  3. Step 3: Cross multiply
    2,854.68x = 4,276.10 × 1,463.82
  4. Step 4: Simplify right side
    2,854.68x = 6,259,440.70
  5. Step 5: Solve for x
    x = 6,259,440.70/2,854.68
  6. Step 6: Final answer
    x = 2,192.69

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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.