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Finding the Fourth Proportional to 2,854.54, 4,281.55 and 1,005.56

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Solution

The fourth proportional to 2,854.54, 4,281.55 and 1,005.56 is: 1,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.54 : 4,281.55 = 1,005.56 : x
  2. Step 2: Convert to fraction form
    2,854.54/4,281.55 = 1,005.56/x
  3. Step 3: Cross multiply
    2,854.54x = 4,281.55 × 1,005.56
  4. Step 4: Simplify right side
    2,854.54x = 4,305,355.42
  5. Step 5: Solve for x
    x = 4,305,355.42/2,854.54
  6. Step 6: Final answer
    x = 1,508.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.