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Finding the Fourth Proportional to 2,597.92, 3,897.24 and 866.68

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Solution

The fourth proportional to 2,597.92, 3,897.24 and 866.68 is: 1,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.92 : 3,897.24 = 866.68 : x
  2. Step 2: Convert to fraction form
    2,597.92/3,897.24 = 866.68/x
  3. Step 3: Cross multiply
    2,597.92x = 3,897.24 × 866.68
  4. Step 4: Simplify right side
    2,597.92x = 3,377,659.96
  5. Step 5: Solve for x
    x = 3,377,659.96/2,597.92
  6. Step 6: Final answer
    x = 1,300.14

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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.