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Finding the Fourth Proportional to 3,297.52, 4,945.76 and 988.48

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Solution

The fourth proportional to 3,297.52, 4,945.76 and 988.48 is: 1,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.52 : 4,945.76 = 988.48 : x
  2. Step 2: Convert to fraction form
    3,297.52/4,945.76 = 988.48/x
  3. Step 3: Cross multiply
    3,297.52x = 4,945.76 × 988.48
  4. Step 4: Simplify right side
    3,297.52x = 4,888,784.84
  5. Step 5: Solve for x
    x = 4,888,784.84/3,297.52
  6. Step 6: Final answer
    x = 1,482.56

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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.