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Finding the Fourth Proportional to 2,694, 3,717.86 and 1,646.13

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Solution

The fourth proportional to 2,694, 3,717.86 and 1,646.13 is: 2,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694 : 3,717.86 = 1,646.13 : x
  2. Step 2: Convert to fraction form
    2,694/3,717.86 = 1,646.13/x
  3. Step 3: Cross multiply
    2,694x = 3,717.86 × 1,646.13
  4. Step 4: Simplify right side
    2,694x = 6,120,072.65
  5. Step 5: Solve for x
    x = 6,120,072.65/2,694
  6. Step 6: Final answer
    x = 2,271.74

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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.