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Finding the Fourth Proportional to 2,294.87, 3,442.25 and 734.81

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Solution

The fourth proportional to 2,294.87, 3,442.25 and 734.81 is: 1,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.87 : 3,442.25 = 734.81 : x
  2. Step 2: Convert to fraction form
    2,294.87/3,442.25 = 734.81/x
  3. Step 3: Cross multiply
    2,294.87x = 3,442.25 × 734.81
  4. Step 4: Simplify right side
    2,294.87x = 2,529,394.74
  5. Step 5: Solve for x
    x = 2,529,394.74/2,294.87
  6. Step 6: Final answer
    x = 1,102.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.