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Finding the Fourth Proportional to 2,422.25, 3,631.58 and 777.86

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Solution

The fourth proportional to 2,422.25, 3,631.58 and 777.86 is: 1,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.25 : 3,631.58 = 777.86 : x
  2. Step 2: Convert to fraction form
    2,422.25/3,631.58 = 777.86/x
  3. Step 3: Cross multiply
    2,422.25x = 3,631.58 × 777.86
  4. Step 4: Simplify right side
    2,422.25x = 2,824,860.82
  5. Step 5: Solve for x
    x = 2,824,860.82/2,422.25
  6. Step 6: Final answer
    x = 1,166.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.