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Finding the Fourth Proportional to 2,274.84, 3,407.40 and 2,001.60

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Solution

The fourth proportional to 2,274.84, 3,407.40 and 2,001.60 is: 2,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.84 : 3,407.40 = 2,001.60 : x
  2. Step 2: Convert to fraction form
    2,274.84/3,407.40 = 2,001.60/x
  3. Step 3: Cross multiply
    2,274.84x = 3,407.40 × 2,001.60
  4. Step 4: Simplify right side
    2,274.84x = 6,820,251.84
  5. Step 5: Solve for x
    x = 6,820,251.84/2,274.84
  6. Step 6: Final answer
    x = 2,998.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.