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Finding the Fourth Proportional to 2,696.26, 3,720.66 and 1,501.38

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Solution

The fourth proportional to 2,696.26, 3,720.66 and 1,501.38 is: 2,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.26 : 3,720.66 = 1,501.38 : x
  2. Step 2: Convert to fraction form
    2,696.26/3,720.66 = 1,501.38/x
  3. Step 3: Cross multiply
    2,696.26x = 3,720.66 × 1,501.38
  4. Step 4: Simplify right side
    2,696.26x = 5,586,124.51
  5. Step 5: Solve for x
    x = 5,586,124.51/2,696.26
  6. Step 6: Final answer
    x = 2,071.80

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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.