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Finding the Fourth Proportional to 1,344.44, 1,854.40 and 1,234.28

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Solution

The fourth proportional to 1,344.44, 1,854.40 and 1,234.28 is: 1,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.44 : 1,854.40 = 1,234.28 : x
  2. Step 2: Convert to fraction form
    1,344.44/1,854.40 = 1,234.28/x
  3. Step 3: Cross multiply
    1,344.44x = 1,854.40 × 1,234.28
  4. Step 4: Simplify right side
    1,344.44x = 2,288,848.83
  5. Step 5: Solve for x
    x = 2,288,848.83/1,344.44
  6. Step 6: Final answer
    x = 1,702.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.