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Finding the Fourth Proportional to 1,473.99, 2,034.09 and 1,031.73

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Solution

The fourth proportional to 1,473.99, 2,034.09 and 1,031.73 is: 1,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.99 : 2,034.09 = 1,031.73 : x
  2. Step 2: Convert to fraction form
    1,473.99/2,034.09 = 1,031.73/x
  3. Step 3: Cross multiply
    1,473.99x = 2,034.09 × 1,031.73
  4. Step 4: Simplify right side
    1,473.99x = 2,098,631.68
  5. Step 5: Solve for x
    x = 2,098,631.68/1,473.99
  6. Step 6: Final answer
    x = 1,423.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.