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Finding the Fourth Proportional to 1,264.46, 1,887.10 and 1,231.65

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Solution

The fourth proportional to 1,264.46, 1,887.10 and 1,231.65 is: 1,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.46 : 1,887.10 = 1,231.65 : x
  2. Step 2: Convert to fraction form
    1,264.46/1,887.10 = 1,231.65/x
  3. Step 3: Cross multiply
    1,264.46x = 1,887.10 × 1,231.65
  4. Step 4: Simplify right side
    1,264.46x = 2,324,243.64
  5. Step 5: Solve for x
    x = 2,324,243.64/1,264.46
  6. Step 6: Final answer
    x = 1,838.14

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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.