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Finding the Fourth Proportional to 4,154.92, 6,233.03 and 1,689.95

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Solution

The fourth proportional to 4,154.92, 6,233.03 and 1,689.95 is: 2,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.92 : 6,233.03 = 1,689.95 : x
  2. Step 2: Convert to fraction form
    4,154.92/6,233.03 = 1,689.95/x
  3. Step 3: Cross multiply
    4,154.92x = 6,233.03 × 1,689.95
  4. Step 4: Simplify right side
    4,154.92x = 10,533,509.05
  5. Step 5: Solve for x
    x = 10,533,509.05/4,154.92
  6. Step 6: Final answer
    x = 2,535.19

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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.