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Finding the Fourth Proportional to 2,509.26, 3,763.62 and 865.62

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Solution

The fourth proportional to 2,509.26, 3,763.62 and 865.62 is: 1,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.26 : 3,763.62 = 865.62 : x
  2. Step 2: Convert to fraction form
    2,509.26/3,763.62 = 865.62/x
  3. Step 3: Cross multiply
    2,509.26x = 3,763.62 × 865.62
  4. Step 4: Simplify right side
    2,509.26x = 3,257,864.74
  5. Step 5: Solve for x
    x = 3,257,864.74/2,509.26
  6. Step 6: Final answer
    x = 1,298.34

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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.