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Finding the Fourth Proportional to 2,767.70, 4,153.07 and 1,186.28

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Solution

The fourth proportional to 2,767.70, 4,153.07 and 1,186.28 is: 1,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.70 : 4,153.07 = 1,186.28 : x
  2. Step 2: Convert to fraction form
    2,767.70/4,153.07 = 1,186.28/x
  3. Step 3: Cross multiply
    2,767.70x = 4,153.07 × 1,186.28
  4. Step 4: Simplify right side
    2,767.70x = 4,926,701.65
  5. Step 5: Solve for x
    x = 4,926,701.65/2,767.70
  6. Step 6: Final answer
    x = 1,780.07

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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.