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Finding the Fourth Proportional to 2,928.48, 4,392.75 and 980.70

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Solution

The fourth proportional to 2,928.48, 4,392.75 and 980.70 is: 1,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.48 : 4,392.75 = 980.70 : x
  2. Step 2: Convert to fraction form
    2,928.48/4,392.75 = 980.70/x
  3. Step 3: Cross multiply
    2,928.48x = 4,392.75 × 980.70
  4. Step 4: Simplify right side
    2,928.48x = 4,307,969.93
  5. Step 5: Solve for x
    x = 4,307,969.93/2,928.48
  6. Step 6: Final answer
    x = 1,471.06

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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.