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Finding the Fourth Proportional to 2,294.93, 3,442.47 and 735.16

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Solution

The fourth proportional to 2,294.93, 3,442.47 and 735.16 is: 1,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.93 : 3,442.47 = 735.16 : x
  2. Step 2: Convert to fraction form
    2,294.93/3,442.47 = 735.16/x
  3. Step 3: Cross multiply
    2,294.93x = 3,442.47 × 735.16
  4. Step 4: Simplify right side
    2,294.93x = 2,530,757.64
  5. Step 5: Solve for x
    x = 2,530,757.64/2,294.93
  6. Step 6: Final answer
    x = 1,102.76

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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.