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Finding the Fourth Proportional to 3,097.97, 4,642.82 and 1,688.77

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Solution

The fourth proportional to 3,097.97, 4,642.82 and 1,688.77 is: 2,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.97 : 4,642.82 = 1,688.77 : x
  2. Step 2: Convert to fraction form
    3,097.97/4,642.82 = 1,688.77/x
  3. Step 3: Cross multiply
    3,097.97x = 4,642.82 × 1,688.77
  4. Step 4: Simplify right side
    3,097.97x = 7,840,647.75
  5. Step 5: Solve for x
    x = 7,840,647.75/3,097.97
  6. Step 6: Final answer
    x = 2,530.90

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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.