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Finding the Fourth Proportional to 1,760.83, 2,642.57 and 1,204.21

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Solution

The fourth proportional to 1,760.83, 2,642.57 and 1,204.21 is: 1,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.83 : 2,642.57 = 1,204.21 : x
  2. Step 2: Convert to fraction form
    1,760.83/2,642.57 = 1,204.21/x
  3. Step 3: Cross multiply
    1,760.83x = 2,642.57 × 1,204.21
  4. Step 4: Simplify right side
    1,760.83x = 3,182,202.93
  5. Step 5: Solve for x
    x = 3,182,202.93/1,760.83
  6. Step 6: Final answer
    x = 1,807.22

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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.