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Finding the Fourth Proportional to 3,269.92, 4,510.16 and 2,089.76

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Solution

The fourth proportional to 3,269.92, 4,510.16 and 2,089.76 is: 2,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.92 : 4,510.16 = 2,089.76 : x
  2. Step 2: Convert to fraction form
    3,269.92/4,510.16 = 2,089.76/x
  3. Step 3: Cross multiply
    3,269.92x = 4,510.16 × 2,089.76
  4. Step 4: Simplify right side
    3,269.92x = 9,425,151.96
  5. Step 5: Solve for x
    x = 9,425,151.96/3,269.92
  6. Step 6: Final answer
    x = 2,882.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.