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Finding the Fourth Proportional to 2,284.75, 3,427.13 and 553.38

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Solution

The fourth proportional to 2,284.75, 3,427.13 and 553.38 is: 830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.75 : 3,427.13 = 553.38 : x
  2. Step 2: Convert to fraction form
    2,284.75/3,427.13 = 553.38/x
  3. Step 3: Cross multiply
    2,284.75x = 3,427.13 × 553.38
  4. Step 4: Simplify right side
    2,284.75x = 1,896,505.20
  5. Step 5: Solve for x
    x = 1,896,505.20/2,284.75
  6. Step 6: Final answer
    x = 830.07

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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.