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Finding the Fourth Proportional to 2,696.64, 3,717.14 and 2,470.65

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Solution

The fourth proportional to 2,696.64, 3,717.14 and 2,470.65 is: 3,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.64 : 3,717.14 = 2,470.65 : x
  2. Step 2: Convert to fraction form
    2,696.64/3,717.14 = 2,470.65/x
  3. Step 3: Cross multiply
    2,696.64x = 3,717.14 × 2,470.65
  4. Step 4: Simplify right side
    2,696.64x = 9,183,739.59
  5. Step 5: Solve for x
    x = 9,183,739.59/2,696.64
  6. Step 6: Final answer
    x = 3,405.62

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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.