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Finding the Fourth Proportional to 2,663.90, 3,994.48 and 1,432.35

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Solution

The fourth proportional to 2,663.90, 3,994.48 and 1,432.35 is: 2,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.90 : 3,994.48 = 1,432.35 : x
  2. Step 2: Convert to fraction form
    2,663.90/3,994.48 = 1,432.35/x
  3. Step 3: Cross multiply
    2,663.90x = 3,994.48 × 1,432.35
  4. Step 4: Simplify right side
    2,663.90x = 5,721,493.43
  5. Step 5: Solve for x
    x = 5,721,493.43/2,663.90
  6. Step 6: Final answer
    x = 2,147.79

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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.