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Finding the Fourth Proportional to 2,602.52, 3,903.84 and 871.16

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Solution

The fourth proportional to 2,602.52, 3,903.84 and 871.16 is: 1,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.52 : 3,903.84 = 871.16 : x
  2. Step 2: Convert to fraction form
    2,602.52/3,903.84 = 871.16/x
  3. Step 3: Cross multiply
    2,602.52x = 3,903.84 × 871.16
  4. Step 4: Simplify right side
    2,602.52x = 3,400,869.25
  5. Step 5: Solve for x
    x = 3,400,869.25/2,602.52
  6. Step 6: Final answer
    x = 1,306.76

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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.