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Finding the Fourth Proportional to 3,098.06, 4,647.77 and 1,454.62

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Solution

The fourth proportional to 3,098.06, 4,647.77 and 1,454.62 is: 2,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.06 : 4,647.77 = 1,454.62 : x
  2. Step 2: Convert to fraction form
    3,098.06/4,647.77 = 1,454.62/x
  3. Step 3: Cross multiply
    3,098.06x = 4,647.77 × 1,454.62
  4. Step 4: Simplify right side
    3,098.06x = 6,760,731.92
  5. Step 5: Solve for x
    x = 6,760,731.92/3,098.06
  6. Step 6: Final answer
    x = 2,182.25

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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.