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Finding the Fourth Proportional to 2,312.80, 3,470.56 and 852.98

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Solution

The fourth proportional to 2,312.80, 3,470.56 and 852.98 is: 1,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.80 : 3,470.56 = 852.98 : x
  2. Step 2: Convert to fraction form
    2,312.80/3,470.56 = 852.98/x
  3. Step 3: Cross multiply
    2,312.80x = 3,470.56 × 852.98
  4. Step 4: Simplify right side
    2,312.80x = 2,960,318.27
  5. Step 5: Solve for x
    x = 2,960,318.27/2,312.80
  6. Step 6: Final answer
    x = 1,279.97

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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.