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Finding the Fourth Proportional to 2,454.48, 3,681.72 and 1,067.76

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Solution

The fourth proportional to 2,454.48, 3,681.72 and 1,067.76 is: 1,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.48 : 3,681.72 = 1,067.76 : x
  2. Step 2: Convert to fraction form
    2,454.48/3,681.72 = 1,067.76/x
  3. Step 3: Cross multiply
    2,454.48x = 3,681.72 × 1,067.76
  4. Step 4: Simplify right side
    2,454.48x = 3,931,193.35
  5. Step 5: Solve for x
    x = 3,931,193.35/2,454.48
  6. Step 6: Final answer
    x = 1,601.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.