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Finding the Fourth Proportional to 2,266.84, 3,412.21 and 1,932.76

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Solution

The fourth proportional to 2,266.84, 3,412.21 and 1,932.76 is: 2,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.84 : 3,412.21 = 1,932.76 : x
  2. Step 2: Convert to fraction form
    2,266.84/3,412.21 = 1,932.76/x
  3. Step 3: Cross multiply
    2,266.84x = 3,412.21 × 1,932.76
  4. Step 4: Simplify right side
    2,266.84x = 6,594,983.00
  5. Step 5: Solve for x
    x = 6,594,983.00/2,266.84
  6. Step 6: Final answer
    x = 2,909.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.