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Finding the Fourth Proportional to 2,698.58, 3,730.38 and 2,673.74

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Solution

The fourth proportional to 2,698.58, 3,730.38 and 2,673.74 is: 3,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.58 : 3,730.38 = 2,673.74 : x
  2. Step 2: Convert to fraction form
    2,698.58/3,730.38 = 2,673.74/x
  3. Step 3: Cross multiply
    2,698.58x = 3,730.38 × 2,673.74
  4. Step 4: Simplify right side
    2,698.58x = 9,974,066.22
  5. Step 5: Solve for x
    x = 9,974,066.22/2,698.58
  6. Step 6: Final answer
    x = 3,696.04

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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.