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Finding the Fourth Proportional to 2,131.36, 2,940.03 and 1,468.17

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Solution

The fourth proportional to 2,131.36, 2,940.03 and 1,468.17 is: 2,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.36 : 2,940.03 = 1,468.17 : x
  2. Step 2: Convert to fraction form
    2,131.36/2,940.03 = 1,468.17/x
  3. Step 3: Cross multiply
    2,131.36x = 2,940.03 × 1,468.17
  4. Step 4: Simplify right side
    2,131.36x = 4,316,463.85
  5. Step 5: Solve for x
    x = 4,316,463.85/2,131.36
  6. Step 6: Final answer
    x = 2,025.22

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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.