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Finding the Fourth Proportional to 2,698.74, 3,722.13 and 1,767.06

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Solution

The fourth proportional to 2,698.74, 3,722.13 and 1,767.06 is: 2,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.74 : 3,722.13 = 1,767.06 : x
  2. Step 2: Convert to fraction form
    2,698.74/3,722.13 = 1,767.06/x
  3. Step 3: Cross multiply
    2,698.74x = 3,722.13 × 1,767.06
  4. Step 4: Simplify right side
    2,698.74x = 6,577,227.04
  5. Step 5: Solve for x
    x = 6,577,227.04/2,698.74
  6. Step 6: Final answer
    x = 2,437.15

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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.