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Finding the Fourth Proportional to 2,431.76, 3,647.64 and 871.70

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Solution

The fourth proportional to 2,431.76, 3,647.64 and 871.70 is: 1,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.76 : 3,647.64 = 871.70 : x
  2. Step 2: Convert to fraction form
    2,431.76/3,647.64 = 871.70/x
  3. Step 3: Cross multiply
    2,431.76x = 3,647.64 × 871.70
  4. Step 4: Simplify right side
    2,431.76x = 3,179,629.55
  5. Step 5: Solve for x
    x = 3,179,629.55/2,431.76
  6. Step 6: Final answer
    x = 1,307.55

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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.