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Finding the Fourth Proportional to 2,326.37, 3,488.87 and 865.17

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Solution

The fourth proportional to 2,326.37, 3,488.87 and 865.17 is: 1,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.37 : 3,488.87 = 865.17 : x
  2. Step 2: Convert to fraction form
    2,326.37/3,488.87 = 865.17/x
  3. Step 3: Cross multiply
    2,326.37x = 3,488.87 × 865.17
  4. Step 4: Simplify right side
    2,326.37x = 3,018,467.82
  5. Step 5: Solve for x
    x = 3,018,467.82/2,326.37
  6. Step 6: Final answer
    x = 1,297.50

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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.