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Finding the Fourth Proportional to 2,294.90, 3,442.08 and 1,358.40

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Solution

The fourth proportional to 2,294.90, 3,442.08 and 1,358.40 is: 2,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.90 : 3,442.08 = 1,358.40 : x
  2. Step 2: Convert to fraction form
    2,294.90/3,442.08 = 1,358.40/x
  3. Step 3: Cross multiply
    2,294.90x = 3,442.08 × 1,358.40
  4. Step 4: Simplify right side
    2,294.90x = 4,675,721.47
  5. Step 5: Solve for x
    x = 4,675,721.47/2,294.90
  6. Step 6: Final answer
    x = 2,037.44

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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.