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Finding the Fourth Proportional to 2,294.61, 3,442.13 and 734.66

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Solution

The fourth proportional to 2,294.61, 3,442.13 and 734.66 is: 1,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.61 : 3,442.13 = 734.66 : x
  2. Step 2: Convert to fraction form
    2,294.61/3,442.13 = 734.66/x
  3. Step 3: Cross multiply
    2,294.61x = 3,442.13 × 734.66
  4. Step 4: Simplify right side
    2,294.61x = 2,528,774.34
  5. Step 5: Solve for x
    x = 2,528,774.34/2,294.61
  6. Step 6: Final answer
    x = 1,102.05

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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.