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Finding the Fourth Proportional to 2,045.28, 3,067.36 and 584.40

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Solution

The fourth proportional to 2,045.28, 3,067.36 and 584.40 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.28 : 3,067.36 = 584.40 : x
  2. Step 2: Convert to fraction form
    2,045.28/3,067.36 = 584.40/x
  3. Step 3: Cross multiply
    2,045.28x = 3,067.36 × 584.40
  4. Step 4: Simplify right side
    2,045.28x = 1,792,565.18
  5. Step 5: Solve for x
    x = 1,792,565.18/2,045.28
  6. Step 6: Final answer
    x = 876.44

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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.