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Finding the Fourth Proportional to 3,098.73, 4,643.48 and 1,712.46

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Solution

The fourth proportional to 3,098.73, 4,643.48 and 1,712.46 is: 2,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.73 : 4,643.48 = 1,712.46 : x
  2. Step 2: Convert to fraction form
    3,098.73/4,643.48 = 1,712.46/x
  3. Step 3: Cross multiply
    3,098.73x = 4,643.48 × 1,712.46
  4. Step 4: Simplify right side
    3,098.73x = 7,951,797.63
  5. Step 5: Solve for x
    x = 7,951,797.63/3,098.73
  6. Step 6: Final answer
    x = 2,566.15

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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.