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Finding the Fourth Proportional to 2,296.61, 3,442.41 and 1,127.42

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Solution

The fourth proportional to 2,296.61, 3,442.41 and 1,127.42 is: 1,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.61 : 3,442.41 = 1,127.42 : x
  2. Step 2: Convert to fraction form
    2,296.61/3,442.41 = 1,127.42/x
  3. Step 3: Cross multiply
    2,296.61x = 3,442.41 × 1,127.42
  4. Step 4: Simplify right side
    2,296.61x = 3,881,024.67
  5. Step 5: Solve for x
    x = 3,881,024.67/2,296.61
  6. Step 6: Final answer
    x = 1,689.90

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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.