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Finding the Fourth Proportional to 2,972.58, 4,101.74 and 1,696.47

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Solution

The fourth proportional to 2,972.58, 4,101.74 and 1,696.47 is: 2,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.58 : 4,101.74 = 1,696.47 : x
  2. Step 2: Convert to fraction form
    2,972.58/4,101.74 = 1,696.47/x
  3. Step 3: Cross multiply
    2,972.58x = 4,101.74 × 1,696.47
  4. Step 4: Simplify right side
    2,972.58x = 6,958,470.38
  5. Step 5: Solve for x
    x = 6,958,470.38/2,972.58
  6. Step 6: Final answer
    x = 2,340.89

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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.