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Finding the Fourth Proportional to 2,602.59, 3,903.93 and 871.23

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Solution

The fourth proportional to 2,602.59, 3,903.93 and 871.23 is: 1,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.59 : 3,903.93 = 871.23 : x
  2. Step 2: Convert to fraction form
    2,602.59/3,903.93 = 871.23/x
  3. Step 3: Cross multiply
    2,602.59x = 3,903.93 × 871.23
  4. Step 4: Simplify right side
    2,602.59x = 3,401,220.93
  5. Step 5: Solve for x
    x = 3,401,220.93/2,602.59
  6. Step 6: Final answer
    x = 1,306.86

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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.