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Finding the Fourth Proportional to 2,567.34, 3,544.29 and 1,976.58

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Solution

The fourth proportional to 2,567.34, 3,544.29 and 1,976.58 is: 2,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.34 : 3,544.29 = 1,976.58 : x
  2. Step 2: Convert to fraction form
    2,567.34/3,544.29 = 1,976.58/x
  3. Step 3: Cross multiply
    2,567.34x = 3,544.29 × 1,976.58
  4. Step 4: Simplify right side
    2,567.34x = 7,005,572.73
  5. Step 5: Solve for x
    x = 7,005,572.73/2,567.34
  6. Step 6: Final answer
    x = 2,728.73

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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.