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Finding the Fourth Proportional to 2,024.56, 3,036.93 and 869.50

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Solution

The fourth proportional to 2,024.56, 3,036.93 and 869.50 is: 1,304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.56 : 3,036.93 = 869.50 : x
  2. Step 2: Convert to fraction form
    2,024.56/3,036.93 = 869.50/x
  3. Step 3: Cross multiply
    2,024.56x = 3,036.93 × 869.50
  4. Step 4: Simplify right side
    2,024.56x = 2,640,610.64
  5. Step 5: Solve for x
    x = 2,640,610.64/2,024.56
  6. Step 6: Final answer
    x = 1,304.29

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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.