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Finding the Fourth Proportional to 3,266.09, 4,899.50 and 1,187.06

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Solution

The fourth proportional to 3,266.09, 4,899.50 and 1,187.06 is: 1,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.09 : 4,899.50 = 1,187.06 : x
  2. Step 2: Convert to fraction form
    3,266.09/4,899.50 = 1,187.06/x
  3. Step 3: Cross multiply
    3,266.09x = 4,899.50 × 1,187.06
  4. Step 4: Simplify right side
    3,266.09x = 5,816,000.47
  5. Step 5: Solve for x
    x = 5,816,000.47/3,266.09
  6. Step 6: Final answer
    x = 1,780.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.