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Finding the Fourth Proportional to 2,328.52, 3,491.24 and 1,636.02

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Solution

The fourth proportional to 2,328.52, 3,491.24 and 1,636.02 is: 2,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.52 : 3,491.24 = 1,636.02 : x
  2. Step 2: Convert to fraction form
    2,328.52/3,491.24 = 1,636.02/x
  3. Step 3: Cross multiply
    2,328.52x = 3,491.24 × 1,636.02
  4. Step 4: Simplify right side
    2,328.52x = 5,711,730.28
  5. Step 5: Solve for x
    x = 5,711,730.28/2,328.52
  6. Step 6: Final answer
    x = 2,452.95

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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.