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Finding the Fourth Proportional to 2,505.31, 3,458.02 and 1,457.57

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Solution

The fourth proportional to 2,505.31, 3,458.02 and 1,457.57 is: 2,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.31 : 3,458.02 = 1,457.57 : x
  2. Step 2: Convert to fraction form
    2,505.31/3,458.02 = 1,457.57/x
  3. Step 3: Cross multiply
    2,505.31x = 3,458.02 × 1,457.57
  4. Step 4: Simplify right side
    2,505.31x = 5,040,306.21
  5. Step 5: Solve for x
    x = 5,040,306.21/2,505.31
  6. Step 6: Final answer
    x = 2,011.85

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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.