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Finding the Fourth Proportional to 2,357.26, 3,537.29 and 876.23

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Solution

The fourth proportional to 2,357.26, 3,537.29 and 876.23 is: 1,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.26 : 3,537.29 = 876.23 : x
  2. Step 2: Convert to fraction form
    2,357.26/3,537.29 = 876.23/x
  3. Step 3: Cross multiply
    2,357.26x = 3,537.29 × 876.23
  4. Step 4: Simplify right side
    2,357.26x = 3,099,479.62
  5. Step 5: Solve for x
    x = 3,099,479.62/2,357.26
  6. Step 6: Final answer
    x = 1,314.87

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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.