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Finding the Fourth Proportional to 2,502.68, 3,452.30 and 1,558.63

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Solution

The fourth proportional to 2,502.68, 3,452.30 and 1,558.63 is: 2,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.68 : 3,452.30 = 1,558.63 : x
  2. Step 2: Convert to fraction form
    2,502.68/3,452.30 = 1,558.63/x
  3. Step 3: Cross multiply
    2,502.68x = 3,452.30 × 1,558.63
  4. Step 4: Simplify right side
    2,502.68x = 5,380,841.93
  5. Step 5: Solve for x
    x = 5,380,841.93/2,502.68
  6. Step 6: Final answer
    x = 2,150.03

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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.