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Finding the Fourth Proportional to 3,288.72, 4,933.76 and 980.40

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Solution

The fourth proportional to 3,288.72, 4,933.76 and 980.40 is: 1,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.72 : 4,933.76 = 980.40 : x
  2. Step 2: Convert to fraction form
    3,288.72/4,933.76 = 980.40/x
  3. Step 3: Cross multiply
    3,288.72x = 4,933.76 × 980.40
  4. Step 4: Simplify right side
    3,288.72x = 4,837,058.30
  5. Step 5: Solve for x
    x = 4,837,058.30/3,288.72
  6. Step 6: Final answer
    x = 1,470.80

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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.