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Finding the Fourth Proportional to 2,874.48, 4,311.72 and 2,006.16

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Solution

The fourth proportional to 2,874.48, 4,311.72 and 2,006.16 is: 3,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.48 : 4,311.72 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    2,874.48/4,311.72 = 2,006.16/x
  3. Step 3: Cross multiply
    2,874.48x = 4,311.72 × 2,006.16
  4. Step 4: Simplify right side
    2,874.48x = 8,650,000.20
  5. Step 5: Solve for x
    x = 8,650,000.20/2,874.48
  6. Step 6: Final answer
    x = 3,009.24

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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.