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Finding the Fourth Proportional to 1,310.44, 1,810.24 and 1,192.20

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Solution

The fourth proportional to 1,310.44, 1,810.24 and 1,192.20 is: 1,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.44 : 1,810.24 = 1,192.20 : x
  2. Step 2: Convert to fraction form
    1,310.44/1,810.24 = 1,192.20/x
  3. Step 3: Cross multiply
    1,310.44x = 1,810.24 × 1,192.20
  4. Step 4: Simplify right side
    1,310.44x = 2,158,162.17
  5. Step 5: Solve for x
    x = 2,158,162.17/1,310.44
  6. Step 6: Final answer
    x = 1,646.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.