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Finding the Fourth Proportional to 1,768.45, 2,442.23 and 1,456.80

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Solution

The fourth proportional to 1,768.45, 2,442.23 and 1,456.80 is: 2,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.45 : 2,442.23 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    1,768.45/2,442.23 = 1,456.80/x
  3. Step 3: Cross multiply
    1,768.45x = 2,442.23 × 1,456.80
  4. Step 4: Simplify right side
    1,768.45x = 3,557,833.38
  5. Step 5: Solve for x
    x = 3,557,833.38/1,768.45
  6. Step 6: Final answer
    x = 2,011.84

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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.