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Finding the Fourth Proportional to 2,486.53, 3,729.92 and 637.66

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Solution

The fourth proportional to 2,486.53, 3,729.92 and 637.66 is: 956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.53 : 3,729.92 = 637.66 : x
  2. Step 2: Convert to fraction form
    2,486.53/3,729.92 = 637.66/x
  3. Step 3: Cross multiply
    2,486.53x = 3,729.92 × 637.66
  4. Step 4: Simplify right side
    2,486.53x = 2,378,413.06
  5. Step 5: Solve for x
    x = 2,378,413.06/2,486.53
  6. Step 6: Final answer
    x = 956.52

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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.