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Finding the Fourth Proportional to 2,854.54, 4,280.55 and 1,005.11

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Solution

The fourth proportional to 2,854.54, 4,280.55 and 1,005.11 is: 1,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.54 : 4,280.55 = 1,005.11 : x
  2. Step 2: Convert to fraction form
    2,854.54/4,280.55 = 1,005.11/x
  3. Step 3: Cross multiply
    2,854.54x = 4,280.55 × 1,005.11
  4. Step 4: Simplify right side
    2,854.54x = 4,302,414.49
  5. Step 5: Solve for x
    x = 4,302,414.49/2,854.54
  6. Step 6: Final answer
    x = 1,507.22

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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.