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Finding the Fourth Proportional to 2,854.36, 4,282.44 and 1,005.40

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Solution

The fourth proportional to 2,854.36, 4,282.44 and 1,005.40 is: 1,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.36 : 4,282.44 = 1,005.40 : x
  2. Step 2: Convert to fraction form
    2,854.36/4,282.44 = 1,005.40/x
  3. Step 3: Cross multiply
    2,854.36x = 4,282.44 × 1,005.40
  4. Step 4: Simplify right side
    2,854.36x = 4,305,565.18
  5. Step 5: Solve for x
    x = 4,305,565.18/2,854.36
  6. Step 6: Final answer
    x = 1,508.42

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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.