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Finding the Fourth Proportional to 3,007.92, 4,151.25 and 1,748.88

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Solution

The fourth proportional to 3,007.92, 4,151.25 and 1,748.88 is: 2,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.92 : 4,151.25 = 1,748.88 : x
  2. Step 2: Convert to fraction form
    3,007.92/4,151.25 = 1,748.88/x
  3. Step 3: Cross multiply
    3,007.92x = 4,151.25 × 1,748.88
  4. Step 4: Simplify right side
    3,007.92x = 7,260,038.10
  5. Step 5: Solve for x
    x = 7,260,038.10/3,007.92
  6. Step 6: Final answer
    x = 2,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.