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Finding the Fourth Proportional to 2,744.07, 4,115.08 and 988.60

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Solution

The fourth proportional to 2,744.07, 4,115.08 and 988.60 is: 1,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.07 : 4,115.08 = 988.60 : x
  2. Step 2: Convert to fraction form
    2,744.07/4,115.08 = 988.60/x
  3. Step 3: Cross multiply
    2,744.07x = 4,115.08 × 988.60
  4. Step 4: Simplify right side
    2,744.07x = 4,068,155.33
  5. Step 5: Solve for x
    x = 4,068,155.33/2,744.07
  6. Step 6: Final answer
    x = 1,482.53

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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.