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Finding the Fourth Proportional to 2,552.76, 3,523.14 and 1,558.17

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Solution

The fourth proportional to 2,552.76, 3,523.14 and 1,558.17 is: 2,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.76 : 3,523.14 = 1,558.17 : x
  2. Step 2: Convert to fraction form
    2,552.76/3,523.14 = 1,558.17/x
  3. Step 3: Cross multiply
    2,552.76x = 3,523.14 × 1,558.17
  4. Step 4: Simplify right side
    2,552.76x = 5,489,651.05
  5. Step 5: Solve for x
    x = 5,489,651.05/2,552.76
  6. Step 6: Final answer
    x = 2,150.48

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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.