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Finding the Fourth Proportional to 2,324.92, 3,488.02 and 2,070.20

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Solution

The fourth proportional to 2,324.92, 3,488.02 and 2,070.20 is: 3,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.92 : 3,488.02 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    2,324.92/3,488.02 = 2,070.20/x
  3. Step 3: Cross multiply
    2,324.92x = 3,488.02 × 2,070.20
  4. Step 4: Simplify right side
    2,324.92x = 7,220,899.00
  5. Step 5: Solve for x
    x = 7,220,899.00/2,324.92
  6. Step 6: Final answer
    x = 3,105.87

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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.