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Finding the Fourth Proportional to 2,986.65, 4,458.15 and 2,769.84

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Solution

The fourth proportional to 2,986.65, 4,458.15 and 2,769.84 is: 4,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.65 : 4,458.15 = 2,769.84 : x
  2. Step 2: Convert to fraction form
    2,986.65/4,458.15 = 2,769.84/x
  3. Step 3: Cross multiply
    2,986.65x = 4,458.15 × 2,769.84
  4. Step 4: Simplify right side
    2,986.65x = 12,348,362.20
  5. Step 5: Solve for x
    x = 12,348,362.20/2,986.65
  6. Step 6: Final answer
    x = 4,134.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.