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Finding the Fourth Proportional to 2,502.81, 3,453.66 and 1,558.71

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Solution

The fourth proportional to 2,502.81, 3,453.66 and 1,558.71 is: 2,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.81 : 3,453.66 = 1,558.71 : x
  2. Step 2: Convert to fraction form
    2,502.81/3,453.66 = 1,558.71/x
  3. Step 3: Cross multiply
    2,502.81x = 3,453.66 × 1,558.71
  4. Step 4: Simplify right side
    2,502.81x = 5,383,254.38
  5. Step 5: Solve for x
    x = 5,383,254.38/2,502.81
  6. Step 6: Final answer
    x = 2,150.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.