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Finding the Fourth Proportional to 2,261.48, 3,391.68 and 618.04

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Solution

The fourth proportional to 2,261.48, 3,391.68 and 618.04 is: 926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.48 : 3,391.68 = 618.04 : x
  2. Step 2: Convert to fraction form
    2,261.48/3,391.68 = 618.04/x
  3. Step 3: Cross multiply
    2,261.48x = 3,391.68 × 618.04
  4. Step 4: Simplify right side
    2,261.48x = 2,096,173.86
  5. Step 5: Solve for x
    x = 2,096,173.86/2,261.48
  6. Step 6: Final answer
    x = 926.90

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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.