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Finding the Fourth Proportional to 2,508.33, 3,761.44 and 948.07

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Solution

The fourth proportional to 2,508.33, 3,761.44 and 948.07 is: 1,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.33 : 3,761.44 = 948.07 : x
  2. Step 2: Convert to fraction form
    2,508.33/3,761.44 = 948.07/x
  3. Step 3: Cross multiply
    2,508.33x = 3,761.44 × 948.07
  4. Step 4: Simplify right side
    2,508.33x = 3,566,108.42
  5. Step 5: Solve for x
    x = 3,566,108.42/2,508.33
  6. Step 6: Final answer
    x = 1,421.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.