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Finding the Fourth Proportional to 1,422.65, 1,963.49 and 1,025.66

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Solution

The fourth proportional to 1,422.65, 1,963.49 and 1,025.66 is: 1,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.65 : 1,963.49 = 1,025.66 : x
  2. Step 2: Convert to fraction form
    1,422.65/1,963.49 = 1,025.66/x
  3. Step 3: Cross multiply
    1,422.65x = 1,963.49 × 1,025.66
  4. Step 4: Simplify right side
    1,422.65x = 2,013,872.93
  5. Step 5: Solve for x
    x = 2,013,872.93/1,422.65
  6. Step 6: Final answer
    x = 1,415.58

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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.