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Finding the Fourth Proportional to 2,168.66, 2,991.95 and 1,423.04

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Solution

The fourth proportional to 2,168.66, 2,991.95 and 1,423.04 is: 1,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.66 : 2,991.95 = 1,423.04 : x
  2. Step 2: Convert to fraction form
    2,168.66/2,991.95 = 1,423.04/x
  3. Step 3: Cross multiply
    2,168.66x = 2,991.95 × 1,423.04
  4. Step 4: Simplify right side
    2,168.66x = 4,257,642.45
  5. Step 5: Solve for x
    x = 4,257,642.45/2,168.66
  6. Step 6: Final answer
    x = 1,963.26

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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.