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Finding the Fourth Proportional to 2,534.22, 3,801.78 and 891.72

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Solution

The fourth proportional to 2,534.22, 3,801.78 and 891.72 is: 1,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.22 : 3,801.78 = 891.72 : x
  2. Step 2: Convert to fraction form
    2,534.22/3,801.78 = 891.72/x
  3. Step 3: Cross multiply
    2,534.22x = 3,801.78 × 891.72
  4. Step 4: Simplify right side
    2,534.22x = 3,390,123.26
  5. Step 5: Solve for x
    x = 3,390,123.26/2,534.22
  6. Step 6: Final answer
    x = 1,337.74

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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.