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Finding the Fourth Proportional to 2,431.86, 3,648.65 and 872.10

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Solution

The fourth proportional to 2,431.86, 3,648.65 and 872.10 is: 1,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.86 : 3,648.65 = 872.10 : x
  2. Step 2: Convert to fraction form
    2,431.86/3,648.65 = 872.10/x
  3. Step 3: Cross multiply
    2,431.86x = 3,648.65 × 872.10
  4. Step 4: Simplify right side
    2,431.86x = 3,181,983.30
  5. Step 5: Solve for x
    x = 3,181,983.30/2,431.86
  6. Step 6: Final answer
    x = 1,308.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.