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Finding the Fourth Proportional to 2,124.22, 3,188.35 and 891.30

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Solution

The fourth proportional to 2,124.22, 3,188.35 and 891.30 is: 1,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.22 : 3,188.35 = 891.30 : x
  2. Step 2: Convert to fraction form
    2,124.22/3,188.35 = 891.30/x
  3. Step 3: Cross multiply
    2,124.22x = 3,188.35 × 891.30
  4. Step 4: Simplify right side
    2,124.22x = 2,841,770.61
  5. Step 5: Solve for x
    x = 2,841,770.61/2,124.22
  6. Step 6: Final answer
    x = 1,337.79

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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.