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Finding the Fourth Proportional to 1,209.42, 1,803.51 and 1,142.73

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Solution

The fourth proportional to 1,209.42, 1,803.51 and 1,142.73 is: 1,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.42 : 1,803.51 = 1,142.73 : x
  2. Step 2: Convert to fraction form
    1,209.42/1,803.51 = 1,142.73/x
  3. Step 3: Cross multiply
    1,209.42x = 1,803.51 × 1,142.73
  4. Step 4: Simplify right side
    1,209.42x = 2,060,924.98
  5. Step 5: Solve for x
    x = 2,060,924.98/1,209.42
  6. Step 6: Final answer
    x = 1,704.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.