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Finding the Fourth Proportional to 2,017.92, 3,023.64 and 784.56

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Solution

The fourth proportional to 2,017.92, 3,023.64 and 784.56 is: 1,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.92 : 3,023.64 = 784.56 : x
  2. Step 2: Convert to fraction form
    2,017.92/3,023.64 = 784.56/x
  3. Step 3: Cross multiply
    2,017.92x = 3,023.64 × 784.56
  4. Step 4: Simplify right side
    2,017.92x = 2,372,227.00
  5. Step 5: Solve for x
    x = 2,372,227.00/2,017.92
  6. Step 6: Final answer
    x = 1,175.58

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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.