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Finding the Fourth Proportional to 2,569.32, 3,552.90 and 2,453.16

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Solution

The fourth proportional to 2,569.32, 3,552.90 and 2,453.16 is: 3,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.32 : 3,552.90 = 2,453.16 : x
  2. Step 2: Convert to fraction form
    2,569.32/3,552.90 = 2,453.16/x
  3. Step 3: Cross multiply
    2,569.32x = 3,552.90 × 2,453.16
  4. Step 4: Simplify right side
    2,569.32x = 8,715,832.16
  5. Step 5: Solve for x
    x = 8,715,832.16/2,569.32
  6. Step 6: Final answer
    x = 3,392.27

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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.