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Finding the Fourth Proportional to 3,069.60, 4,605.15 and 989.82

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Solution

The fourth proportional to 3,069.60, 4,605.15 and 989.82 is: 1,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.60 : 4,605.15 = 989.82 : x
  2. Step 2: Convert to fraction form
    3,069.60/4,605.15 = 989.82/x
  3. Step 3: Cross multiply
    3,069.60x = 4,605.15 × 989.82
  4. Step 4: Simplify right side
    3,069.60x = 4,558,269.57
  5. Step 5: Solve for x
    x = 4,558,269.57/3,069.60
  6. Step 6: Final answer
    x = 1,484.97

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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.