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Finding the Fourth Proportional to 2,083.20, 3,126.36 and 987.88

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Solution

The fourth proportional to 2,083.20, 3,126.36 and 987.88 is: 1,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.20 : 3,126.36 = 987.88 : x
  2. Step 2: Convert to fraction form
    2,083.20/3,126.36 = 987.88/x
  3. Step 3: Cross multiply
    2,083.20x = 3,126.36 × 987.88
  4. Step 4: Simplify right side
    2,083.20x = 3,088,468.52
  5. Step 5: Solve for x
    x = 3,088,468.52/2,083.20
  6. Step 6: Final answer
    x = 1,482.56

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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.