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Finding the Fourth Proportional to 2,008.32, 3,013.13 and 1,186.80

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Solution

The fourth proportional to 2,008.32, 3,013.13 and 1,186.80 is: 1,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.32 : 3,013.13 = 1,186.80 : x
  2. Step 2: Convert to fraction form
    2,008.32/3,013.13 = 1,186.80/x
  3. Step 3: Cross multiply
    2,008.32x = 3,013.13 × 1,186.80
  4. Step 4: Simplify right side
    2,008.32x = 3,575,982.68
  5. Step 5: Solve for x
    x = 3,575,982.68/2,008.32
  6. Step 6: Final answer
    x = 1,780.58

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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.