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Finding the Fourth Proportional to 2,854.48, 4,281.54 and 1,005.76

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Solution

The fourth proportional to 2,854.48, 4,281.54 and 1,005.76 is: 1,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.48 : 4,281.54 = 1,005.76 : x
  2. Step 2: Convert to fraction form
    2,854.48/4,281.54 = 1,005.76/x
  3. Step 3: Cross multiply
    2,854.48x = 4,281.54 × 1,005.76
  4. Step 4: Simplify right side
    2,854.48x = 4,306,201.67
  5. Step 5: Solve for x
    x = 4,306,201.67/2,854.48
  6. Step 6: Final answer
    x = 1,508.58

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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.