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Finding the Fourth Proportional to 2,507.92, 3,760.68 and 1,209.76

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Solution

The fourth proportional to 2,507.92, 3,760.68 and 1,209.76 is: 1,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.92 : 3,760.68 = 1,209.76 : x
  2. Step 2: Convert to fraction form
    2,507.92/3,760.68 = 1,209.76/x
  3. Step 3: Cross multiply
    2,507.92x = 3,760.68 × 1,209.76
  4. Step 4: Simplify right side
    2,507.92x = 4,549,520.24
  5. Step 5: Solve for x
    x = 4,549,520.24/2,507.92
  6. Step 6: Final answer
    x = 1,814.06

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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.