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Finding the Fourth Proportional to 2,488.06, 3,731.31 and 821.87

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Solution

The fourth proportional to 2,488.06, 3,731.31 and 821.87 is: 1,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.06 : 3,731.31 = 821.87 : x
  2. Step 2: Convert to fraction form
    2,488.06/3,731.31 = 821.87/x
  3. Step 3: Cross multiply
    2,488.06x = 3,731.31 × 821.87
  4. Step 4: Simplify right side
    2,488.06x = 3,066,651.75
  5. Step 5: Solve for x
    x = 3,066,651.75/2,488.06
  6. Step 6: Final answer
    x = 1,232.55

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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.