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Finding the Fourth Proportional to 2,866.56, 4,299.54 and 1,306.11

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Solution

The fourth proportional to 2,866.56, 4,299.54 and 1,306.11 is: 1,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.56 : 4,299.54 = 1,306.11 : x
  2. Step 2: Convert to fraction form
    2,866.56/4,299.54 = 1,306.11/x
  3. Step 3: Cross multiply
    2,866.56x = 4,299.54 × 1,306.11
  4. Step 4: Simplify right side
    2,866.56x = 5,615,672.19
  5. Step 5: Solve for x
    x = 5,615,672.19/2,866.56
  6. Step 6: Final answer
    x = 1,959.03

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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.