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Finding the Fourth Proportional to 2,393.60, 3,589.94 and 1,006.38

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Solution

The fourth proportional to 2,393.60, 3,589.94 and 1,006.38 is: 1,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.60 : 3,589.94 = 1,006.38 : x
  2. Step 2: Convert to fraction form
    2,393.60/3,589.94 = 1,006.38/x
  3. Step 3: Cross multiply
    2,393.60x = 3,589.94 × 1,006.38
  4. Step 4: Simplify right side
    2,393.60x = 3,612,838.79
  5. Step 5: Solve for x
    x = 3,612,838.79/2,393.60
  6. Step 6: Final answer
    x = 1,509.38

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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.