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Finding the Fourth Proportional to 2,607.74, 3,902.29 and 2,433.95

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Solution

The fourth proportional to 2,607.74, 3,902.29 and 2,433.95 is: 3,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.74 : 3,902.29 = 2,433.95 : x
  2. Step 2: Convert to fraction form
    2,607.74/3,902.29 = 2,433.95/x
  3. Step 3: Cross multiply
    2,607.74x = 3,902.29 × 2,433.95
  4. Step 4: Simplify right side
    2,607.74x = 9,497,978.75
  5. Step 5: Solve for x
    x = 9,497,978.75/2,607.74
  6. Step 6: Final answer
    x = 3,642.23

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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.