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Finding the Fourth Proportional to 2,920.52, 4,380.96 and 972.92

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Solution

The fourth proportional to 2,920.52, 4,380.96 and 972.92 is: 1,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.52 : 4,380.96 = 972.92 : x
  2. Step 2: Convert to fraction form
    2,920.52/4,380.96 = 972.92/x
  3. Step 3: Cross multiply
    2,920.52x = 4,380.96 × 972.92
  4. Step 4: Simplify right side
    2,920.52x = 4,262,323.60
  5. Step 5: Solve for x
    x = 4,262,323.60/2,920.52
  6. Step 6: Final answer
    x = 1,459.44

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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.