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Finding the Fourth Proportional to 1,340.18, 1,997.11 and 1,296.13

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Solution

The fourth proportional to 1,340.18, 1,997.11 and 1,296.13 is: 1,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.18 : 1,997.11 = 1,296.13 : x
  2. Step 2: Convert to fraction form
    1,340.18/1,997.11 = 1,296.13/x
  3. Step 3: Cross multiply
    1,340.18x = 1,997.11 × 1,296.13
  4. Step 4: Simplify right side
    1,340.18x = 2,588,497.72
  5. Step 5: Solve for x
    x = 2,588,497.72/1,340.18
  6. Step 6: Final answer
    x = 1,931.46

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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.