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Finding the Fourth Proportional to 1,468.94, 2,184.52 and 1,422.80

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Solution

The fourth proportional to 1,468.94, 2,184.52 and 1,422.80 is: 2,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.94 : 2,184.52 = 1,422.80 : x
  2. Step 2: Convert to fraction form
    1,468.94/2,184.52 = 1,422.80/x
  3. Step 3: Cross multiply
    1,468.94x = 2,184.52 × 1,422.80
  4. Step 4: Simplify right side
    1,468.94x = 3,108,135.06
  5. Step 5: Solve for x
    x = 3,108,135.06/1,468.94
  6. Step 6: Final answer
    x = 2,115.90

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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.