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Finding the Fourth Proportional to 1,484.84, 2,227.28 and 389.21

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Solution

The fourth proportional to 1,484.84, 2,227.28 and 389.21 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.84 : 2,227.28 = 389.21 : x
  2. Step 2: Convert to fraction form
    1,484.84/2,227.28 = 389.21/x
  3. Step 3: Cross multiply
    1,484.84x = 2,227.28 × 389.21
  4. Step 4: Simplify right side
    1,484.84x = 866,879.65
  5. Step 5: Solve for x
    x = 866,879.65/1,484.84
  6. Step 6: Final answer
    x = 583.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.