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Finding the Fourth Proportional to 2,578.78, 3,558.74 and 1,399.86

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Solution

The fourth proportional to 2,578.78, 3,558.74 and 1,399.86 is: 1,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.78 : 3,558.74 = 1,399.86 : x
  2. Step 2: Convert to fraction form
    2,578.78/3,558.74 = 1,399.86/x
  3. Step 3: Cross multiply
    2,578.78x = 3,558.74 × 1,399.86
  4. Step 4: Simplify right side
    2,578.78x = 4,981,737.78
  5. Step 5: Solve for x
    x = 4,981,737.78/2,578.78
  6. Step 6: Final answer
    x = 1,931.82

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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.