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Finding the Fourth Proportional to 2,017.84, 3,026.82 and 784.96

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Solution

The fourth proportional to 2,017.84, 3,026.82 and 784.96 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.84 : 3,026.82 = 784.96 : x
  2. Step 2: Convert to fraction form
    2,017.84/3,026.82 = 784.96/x
  3. Step 3: Cross multiply
    2,017.84x = 3,026.82 × 784.96
  4. Step 4: Simplify right side
    2,017.84x = 2,375,932.63
  5. Step 5: Solve for x
    x = 2,375,932.63/2,017.84
  6. Step 6: Final answer
    x = 1,177.46

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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.