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Finding the Fourth Proportional to 2,696.93, 3,721.24 and 1,752.65

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Solution

The fourth proportional to 2,696.93, 3,721.24 and 1,752.65 is: 2,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.93 : 3,721.24 = 1,752.65 : x
  2. Step 2: Convert to fraction form
    2,696.93/3,721.24 = 1,752.65/x
  3. Step 3: Cross multiply
    2,696.93x = 3,721.24 × 1,752.65
  4. Step 4: Simplify right side
    2,696.93x = 6,522,031.29
  5. Step 5: Solve for x
    x = 6,522,031.29/2,696.93
  6. Step 6: Final answer
    x = 2,418.32

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1.5x scale

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.