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Finding the Fourth Proportional to 2,696.70, 3,721.14 and 1,501.41

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Solution

The fourth proportional to 2,696.70, 3,721.14 and 1,501.41 is: 2,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.70 : 3,721.14 = 1,501.41 : x
  2. Step 2: Convert to fraction form
    2,696.70/3,721.14 = 1,501.41/x
  3. Step 3: Cross multiply
    2,696.70x = 3,721.14 × 1,501.41
  4. Step 4: Simplify right side
    2,696.70x = 5,586,956.81
  5. Step 5: Solve for x
    x = 5,586,956.81/2,696.70
  6. Step 6: Final answer
    x = 2,071.78

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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.