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Finding the Fourth Proportional to 1,362.70, 2,053.60 and 1,296.82

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Solution

The fourth proportional to 1,362.70, 2,053.60 and 1,296.82 is: 1,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.70 : 2,053.60 = 1,296.82 : x
  2. Step 2: Convert to fraction form
    1,362.70/2,053.60 = 1,296.82/x
  3. Step 3: Cross multiply
    1,362.70x = 2,053.60 × 1,296.82
  4. Step 4: Simplify right side
    1,362.70x = 2,663,149.55
  5. Step 5: Solve for x
    x = 2,663,149.55/1,362.70
  6. Step 6: Final answer
    x = 1,954.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.