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Finding the Fourth Proportional to 2,346.28, 3,511.02 and 1,728.52

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Solution

The fourth proportional to 2,346.28, 3,511.02 and 1,728.52 is: 2,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.28 : 3,511.02 = 1,728.52 : x
  2. Step 2: Convert to fraction form
    2,346.28/3,511.02 = 1,728.52/x
  3. Step 3: Cross multiply
    2,346.28x = 3,511.02 × 1,728.52
  4. Step 4: Simplify right side
    2,346.28x = 6,068,868.29
  5. Step 5: Solve for x
    x = 6,068,868.29/2,346.28
  6. Step 6: Final answer
    x = 2,586.59

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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.