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Finding the Fourth Proportional to 3,006.62, 4,150.02 and 1,748.24

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Solution

The fourth proportional to 3,006.62, 4,150.02 and 1,748.24 is: 2,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.62 : 4,150.02 = 1,748.24 : x
  2. Step 2: Convert to fraction form
    3,006.62/4,150.02 = 1,748.24/x
  3. Step 3: Cross multiply
    3,006.62x = 4,150.02 × 1,748.24
  4. Step 4: Simplify right side
    3,006.62x = 7,255,210.21
  5. Step 5: Solve for x
    x = 7,255,210.21/3,006.62
  6. Step 6: Final answer
    x = 2,413.08

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