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Finding the Fourth Proportional to 2,854.61, 4,282.82 and 1,005.65

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Solution

The fourth proportional to 2,854.61, 4,282.82 and 1,005.65 is: 1,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.61 : 4,282.82 = 1,005.65 : x
  2. Step 2: Convert to fraction form
    2,854.61/4,282.82 = 1,005.65/x
  3. Step 3: Cross multiply
    2,854.61x = 4,282.82 × 1,005.65
  4. Step 4: Simplify right side
    2,854.61x = 4,307,012.90
  5. Step 5: Solve for x
    x = 4,307,012.90/2,854.61
  6. Step 6: Final answer
    x = 1,508.79

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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.