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Finding the Fourth Proportional to 2,294.62, 3,440.88 and 1,254.98

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Solution

The fourth proportional to 2,294.62, 3,440.88 and 1,254.98 is: 1,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.62 : 3,440.88 = 1,254.98 : x
  2. Step 2: Convert to fraction form
    2,294.62/3,440.88 = 1,254.98/x
  3. Step 3: Cross multiply
    2,294.62x = 3,440.88 × 1,254.98
  4. Step 4: Simplify right side
    2,294.62x = 4,318,235.58
  5. Step 5: Solve for x
    x = 4,318,235.58/2,294.62
  6. Step 6: Final answer
    x = 1,881.90

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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.