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Finding the Fourth Proportional to 2,854.75, 4,280.18 and 1,005.62

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Solution

The fourth proportional to 2,854.75, 4,280.18 and 1,005.62 is: 1,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.75 : 4,280.18 = 1,005.62 : x
  2. Step 2: Convert to fraction form
    2,854.75/4,280.18 = 1,005.62/x
  3. Step 3: Cross multiply
    2,854.75x = 4,280.18 × 1,005.62
  4. Step 4: Simplify right side
    2,854.75x = 4,304,213.21
  5. Step 5: Solve for x
    x = 4,304,213.21/2,854.75
  6. Step 6: Final answer
    x = 1,507.74

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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.