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Finding the Fourth Proportional to 2,133.49, 2,943.09 and 1,469.20

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Solution

The fourth proportional to 2,133.49, 2,943.09 and 1,469.20 is: 2,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.49 : 2,943.09 = 1,469.20 : x
  2. Step 2: Convert to fraction form
    2,133.49/2,943.09 = 1,469.20/x
  3. Step 3: Cross multiply
    2,133.49x = 2,943.09 × 1,469.20
  4. Step 4: Simplify right side
    2,133.49x = 4,323,987.83
  5. Step 5: Solve for x
    x = 4,323,987.83/2,133.49
  6. Step 6: Final answer
    x = 2,026.72

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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.