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Finding the Fourth Proportional to 1,474.66, 2,034.75 and 884.98

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Solution

The fourth proportional to 1,474.66, 2,034.75 and 884.98 is: 1,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.66 : 2,034.75 = 884.98 : x
  2. Step 2: Convert to fraction form
    1,474.66/2,034.75 = 884.98/x
  3. Step 3: Cross multiply
    1,474.66x = 2,034.75 × 884.98
  4. Step 4: Simplify right side
    1,474.66x = 1,800,713.06
  5. Step 5: Solve for x
    x = 1,800,713.06/1,474.66
  6. Step 6: Final answer
    x = 1,221.10

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Why These Related Problems?

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