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Finding the Fourth Proportional to 2,431.01, 3,646.42 and 871.05

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Solution

The fourth proportional to 2,431.01, 3,646.42 and 871.05 is: 1,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.01 : 3,646.42 = 871.05 : x
  2. Step 2: Convert to fraction form
    2,431.01/3,646.42 = 871.05/x
  3. Step 3: Cross multiply
    2,431.01x = 3,646.42 × 871.05
  4. Step 4: Simplify right side
    2,431.01x = 3,176,225.64
  5. Step 5: Solve for x
    x = 3,176,225.64/2,431.01
  6. Step 6: Final answer
    x = 1,306.54

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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.