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Finding the Fourth Proportional to 2,572.96, 3,552.52 and 1,578.56

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Solution

The fourth proportional to 2,572.96, 3,552.52 and 1,578.56 is: 2,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.96 : 3,552.52 = 1,578.56 : x
  2. Step 2: Convert to fraction form
    2,572.96/3,552.52 = 1,578.56/x
  3. Step 3: Cross multiply
    2,572.96x = 3,552.52 × 1,578.56
  4. Step 4: Simplify right side
    2,572.96x = 5,607,840.32
  5. Step 5: Solve for x
    x = 5,607,840.32/2,572.96
  6. Step 6: Final answer
    x = 2,179.53

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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.