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Finding the Fourth Proportional to 2,134.84, 2,943.12 and 1,661.28

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Solution

The fourth proportional to 2,134.84, 2,943.12 and 1,661.28 is: 2,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.84 : 2,943.12 = 1,661.28 : x
  2. Step 2: Convert to fraction form
    2,134.84/2,943.12 = 1,661.28/x
  3. Step 3: Cross multiply
    2,134.84x = 2,943.12 × 1,661.28
  4. Step 4: Simplify right side
    2,134.84x = 4,889,346.39
  5. Step 5: Solve for x
    x = 4,889,346.39/2,134.84
  6. Step 6: Final answer
    x = 2,290.26

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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.