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Finding the Fourth Proportional to 1,927.03, 2,658.14 and 1,227.19

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Solution

The fourth proportional to 1,927.03, 2,658.14 and 1,227.19 is: 1,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.03 : 2,658.14 = 1,227.19 : x
  2. Step 2: Convert to fraction form
    1,927.03/2,658.14 = 1,227.19/x
  3. Step 3: Cross multiply
    1,927.03x = 2,658.14 × 1,227.19
  4. Step 4: Simplify right side
    1,927.03x = 3,262,036.69
  5. Step 5: Solve for x
    x = 3,262,036.69/1,927.03
  6. Step 6: Final answer
    x = 1,692.78

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1.5x scale

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.