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Finding the Fourth Proportional to 2,648.40, 3,973.19 and 869.54

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Solution

The fourth proportional to 2,648.40, 3,973.19 and 869.54 is: 1,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.40 : 3,973.19 = 869.54 : x
  2. Step 2: Convert to fraction form
    2,648.40/3,973.19 = 869.54/x
  3. Step 3: Cross multiply
    2,648.40x = 3,973.19 × 869.54
  4. Step 4: Simplify right side
    2,648.40x = 3,454,823.42
  5. Step 5: Solve for x
    x = 3,454,823.42/2,648.40
  6. Step 6: Final answer
    x = 1,304.50

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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.