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Finding the Fourth Proportional to 2,464.55, 3,400.35 and 1,578.82

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Solution

The fourth proportional to 2,464.55, 3,400.35 and 1,578.82 is: 2,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.55 : 3,400.35 = 1,578.82 : x
  2. Step 2: Convert to fraction form
    2,464.55/3,400.35 = 1,578.82/x
  3. Step 3: Cross multiply
    2,464.55x = 3,400.35 × 1,578.82
  4. Step 4: Simplify right side
    2,464.55x = 5,368,540.59
  5. Step 5: Solve for x
    x = 5,368,540.59/2,464.55
  6. Step 6: Final answer
    x = 2,178.30

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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.