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Finding the Fourth Proportional to 2,854.78, 4,280.59 and 1,005.73

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Solution

The fourth proportional to 2,854.78, 4,280.59 and 1,005.73 is: 1,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.78 : 4,280.59 = 1,005.73 : x
  2. Step 2: Convert to fraction form
    2,854.78/4,280.59 = 1,005.73/x
  3. Step 3: Cross multiply
    2,854.78x = 4,280.59 × 1,005.73
  4. Step 4: Simplify right side
    2,854.78x = 4,305,117.78
  5. Step 5: Solve for x
    x = 4,305,117.78/2,854.78
  6. Step 6: Final answer
    x = 1,508.04

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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.