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Finding the Fourth Proportional to 2,656.16, 3,977.44 and 2,578.32

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Solution

The fourth proportional to 2,656.16, 3,977.44 and 2,578.32 is: 3,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.16 : 3,977.44 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    2,656.16/3,977.44 = 2,578.32/x
  3. Step 3: Cross multiply
    2,656.16x = 3,977.44 × 2,578.32
  4. Step 4: Simplify right side
    2,656.16x = 10,255,113.10
  5. Step 5: Solve for x
    x = 10,255,113.10/2,656.16
  6. Step 6: Final answer
    x = 3,860.88

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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.