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Finding the Fourth Proportional to 2,284.67, 3,427.01 and 553.30

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Solution

The fourth proportional to 2,284.67, 3,427.01 and 553.30 is: 829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.67 : 3,427.01 = 553.30 : x
  2. Step 2: Convert to fraction form
    2,284.67/3,427.01 = 553.30/x
  3. Step 3: Cross multiply
    2,284.67x = 3,427.01 × 553.30
  4. Step 4: Simplify right side
    2,284.67x = 1,896,164.63
  5. Step 5: Solve for x
    x = 1,896,164.63/2,284.67
  6. Step 6: Final answer
    x = 829.95

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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.