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Finding the Fourth Proportional to 1,243.24, 1,866.66 and 1,071.70

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Solution

The fourth proportional to 1,243.24, 1,866.66 and 1,071.70 is: 1,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.24 : 1,866.66 = 1,071.70 : x
  2. Step 2: Convert to fraction form
    1,243.24/1,866.66 = 1,071.70/x
  3. Step 3: Cross multiply
    1,243.24x = 1,866.66 × 1,071.70
  4. Step 4: Simplify right side
    1,243.24x = 2,000,499.52
  5. Step 5: Solve for x
    x = 2,000,499.52/1,243.24
  6. Step 6: Final answer
    x = 1,609.10

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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.