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Finding the Fourth Proportional to 1,696.57, 2,531.36 and 1,488.80

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Solution

The fourth proportional to 1,696.57, 2,531.36 and 1,488.80 is: 2,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.57 : 2,531.36 = 1,488.80 : x
  2. Step 2: Convert to fraction form
    1,696.57/2,531.36 = 1,488.80/x
  3. Step 3: Cross multiply
    1,696.57x = 2,531.36 × 1,488.80
  4. Step 4: Simplify right side
    1,696.57x = 3,768,698.82
  5. Step 5: Solve for x
    x = 3,768,698.82/1,696.57
  6. Step 6: Final answer
    x = 2,221.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.