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Finding the Fourth Proportional to 2,696.70, 3,720.14 and 1,752.66

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Solution

The fourth proportional to 2,696.70, 3,720.14 and 1,752.66 is: 2,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.70 : 3,720.14 = 1,752.66 : x
  2. Step 2: Convert to fraction form
    2,696.70/3,720.14 = 1,752.66/x
  3. Step 3: Cross multiply
    2,696.70x = 3,720.14 × 1,752.66
  4. Step 4: Simplify right side
    2,696.70x = 6,520,140.57
  5. Step 5: Solve for x
    x = 6,520,140.57/2,696.70
  6. Step 6: Final answer
    x = 2,417.82

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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.