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Finding the Fourth Proportional to 2,639.66, 3,642.78 and 1,578.52

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Solution

The fourth proportional to 2,639.66, 3,642.78 and 1,578.52 is: 2,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.66 : 3,642.78 = 1,578.52 : x
  2. Step 2: Convert to fraction form
    2,639.66/3,642.78 = 1,578.52/x
  3. Step 3: Cross multiply
    2,639.66x = 3,642.78 × 1,578.52
  4. Step 4: Simplify right side
    2,639.66x = 5,750,191.98
  5. Step 5: Solve for x
    x = 5,750,191.98/2,639.66
  6. Step 6: Final answer
    x = 2,178.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.