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Finding the Fourth Proportional to 2,470.94, 3,409.90 and 1,351.88

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Solution

The fourth proportional to 2,470.94, 3,409.90 and 1,351.88 is: 1,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.94 : 3,409.90 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    2,470.94/3,409.90 = 1,351.88/x
  3. Step 3: Cross multiply
    2,470.94x = 3,409.90 × 1,351.88
  4. Step 4: Simplify right side
    2,470.94x = 4,609,767.97
  5. Step 5: Solve for x
    x = 4,609,767.97/2,470.94
  6. Step 6: Final answer
    x = 1,865.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.