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Finding the Fourth Proportional to 2,098.80, 3,148.26 and 865.37

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Solution

The fourth proportional to 2,098.80, 3,148.26 and 865.37 is: 1,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 3,148.26 = 865.37 : x
  2. Step 2: Convert to fraction form
    2,098.80/3,148.26 = 865.37/x
  3. Step 3: Cross multiply
    2,098.80x = 3,148.26 × 865.37
  4. Step 4: Simplify right side
    2,098.80x = 2,724,394.01
  5. Step 5: Solve for x
    x = 2,724,394.01/2,098.80
  6. Step 6: Final answer
    x = 1,298.08

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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.