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Finding the Fourth Proportional to 2,261.68, 3,390.12 and 962.48

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Solution

The fourth proportional to 2,261.68, 3,390.12 and 962.48 is: 1,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.68 : 3,390.12 = 962.48 : x
  2. Step 2: Convert to fraction form
    2,261.68/3,390.12 = 962.48/x
  3. Step 3: Cross multiply
    2,261.68x = 3,390.12 × 962.48
  4. Step 4: Simplify right side
    2,261.68x = 3,262,922.70
  5. Step 5: Solve for x
    x = 3,262,922.70/2,261.68
  6. Step 6: Final answer
    x = 1,442.70

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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.