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Finding the Fourth Proportional to 2,294.90, 3,442.30 and 735

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Solution

The fourth proportional to 2,294.90, 3,442.30 and 735 is: 1,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.90 : 3,442.30 = 735 : x
  2. Step 2: Convert to fraction form
    2,294.90/3,442.30 = 735/x
  3. Step 3: Cross multiply
    2,294.90x = 3,442.30 × 735
  4. Step 4: Simplify right side
    2,294.90x = 2,530,090.50
  5. Step 5: Solve for x
    x = 2,530,090.50/2,294.90
  6. Step 6: Final answer
    x = 1,102.48

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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.