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Finding the Fourth Proportional to 1,474.61, 2,034.59 and 884.93

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Solution

The fourth proportional to 1,474.61, 2,034.59 and 884.93 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.61 : 2,034.59 = 884.93 : x
  2. Step 2: Convert to fraction form
    1,474.61/2,034.59 = 884.93/x
  3. Step 3: Cross multiply
    1,474.61x = 2,034.59 × 884.93
  4. Step 4: Simplify right side
    1,474.61x = 1,800,455.13
  5. Step 5: Solve for x
    x = 1,800,455.13/1,474.61
  6. Step 6: Final answer
    x = 1,220.97

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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.