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Finding the Fourth Proportional to 2,007.74, 3,012.02 and 1,186.61

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Solution

The fourth proportional to 2,007.74, 3,012.02 and 1,186.61 is: 1,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.74 : 3,012.02 = 1,186.61 : x
  2. Step 2: Convert to fraction form
    2,007.74/3,012.02 = 1,186.61/x
  3. Step 3: Cross multiply
    2,007.74x = 3,012.02 × 1,186.61
  4. Step 4: Simplify right side
    2,007.74x = 3,574,072.06
  5. Step 5: Solve for x
    x = 3,574,072.06/2,007.74
  6. Step 6: Final answer
    x = 1,780.15

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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.