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Finding the Fourth Proportional to 2,598.92, 3,898.38 and 867.54

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Solution

The fourth proportional to 2,598.92, 3,898.38 and 867.54 is: 1,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.92 : 3,898.38 = 867.54 : x
  2. Step 2: Convert to fraction form
    2,598.92/3,898.38 = 867.54/x
  3. Step 3: Cross multiply
    2,598.92x = 3,898.38 × 867.54
  4. Step 4: Simplify right side
    2,598.92x = 3,382,000.59
  5. Step 5: Solve for x
    x = 3,382,000.59/2,598.92
  6. Step 6: Final answer
    x = 1,301.31

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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.