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Finding the Fourth Proportional to 2,960.48, 4,440.76 and 852.10

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Solution

The fourth proportional to 2,960.48, 4,440.76 and 852.10 is: 1,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.48 : 4,440.76 = 852.10 : x
  2. Step 2: Convert to fraction form
    2,960.48/4,440.76 = 852.10/x
  3. Step 3: Cross multiply
    2,960.48x = 4,440.76 × 852.10
  4. Step 4: Simplify right side
    2,960.48x = 3,783,958.36
  5. Step 5: Solve for x
    x = 3,783,958.36/2,960.48
  6. Step 6: Final answer
    x = 1,278.16

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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.