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Finding the Fourth Proportional to 2,321.28, 3,483.72 and 860.76

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Solution

The fourth proportional to 2,321.28, 3,483.72 and 860.76 is: 1,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.28 : 3,483.72 = 860.76 : x
  2. Step 2: Convert to fraction form
    2,321.28/3,483.72 = 860.76/x
  3. Step 3: Cross multiply
    2,321.28x = 3,483.72 × 860.76
  4. Step 4: Simplify right side
    2,321.28x = 2,998,646.83
  5. Step 5: Solve for x
    x = 2,998,646.83/2,321.28
  6. Step 6: Final answer
    x = 1,291.81

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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.