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Finding the Fourth Proportional to 2,598.50, 3,897.89 and 867.26

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Solution

The fourth proportional to 2,598.50, 3,897.89 and 867.26 is: 1,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.50 : 3,897.89 = 867.26 : x
  2. Step 2: Convert to fraction form
    2,598.50/3,897.89 = 867.26/x
  3. Step 3: Cross multiply
    2,598.50x = 3,897.89 × 867.26
  4. Step 4: Simplify right side
    2,598.50x = 3,380,460.26
  5. Step 5: Solve for x
    x = 3,380,460.26/2,598.50
  6. Step 6: Final answer
    x = 1,300.93

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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.