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Finding the Fourth Proportional to 2,552.84, 3,523.30 and 1,558.70

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Solution

The fourth proportional to 2,552.84, 3,523.30 and 1,558.70 is: 2,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.84 : 3,523.30 = 1,558.70 : x
  2. Step 2: Convert to fraction form
    2,552.84/3,523.30 = 1,558.70/x
  3. Step 3: Cross multiply
    2,552.84x = 3,523.30 × 1,558.70
  4. Step 4: Simplify right side
    2,552.84x = 5,491,750.09
  5. Step 5: Solve for x
    x = 5,491,750.09/2,552.84
  6. Step 6: Final answer
    x = 2,151.23

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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.