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Finding the Fourth Proportional to 2,312.46, 3,470.05 and 852.63

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Solution

The fourth proportional to 2,312.46, 3,470.05 and 852.63 is: 1,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.46 : 3,470.05 = 852.63 : x
  2. Step 2: Convert to fraction form
    2,312.46/3,470.05 = 852.63/x
  3. Step 3: Cross multiply
    2,312.46x = 3,470.05 × 852.63
  4. Step 4: Simplify right side
    2,312.46x = 2,958,668.73
  5. Step 5: Solve for x
    x = 2,958,668.73/2,312.46
  6. Step 6: Final answer
    x = 1,279.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.