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Finding the Fourth Proportional to 2,284.52, 3,426.74 and 553.16

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Solution

The fourth proportional to 2,284.52, 3,426.74 and 553.16 is: 829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.52 : 3,426.74 = 553.16 : x
  2. Step 2: Convert to fraction form
    2,284.52/3,426.74 = 553.16/x
  3. Step 3: Cross multiply
    2,284.52x = 3,426.74 × 553.16
  4. Step 4: Simplify right side
    2,284.52x = 1,895,519.75
  5. Step 5: Solve for x
    x = 1,895,519.75/2,284.52
  6. Step 6: Final answer
    x = 829.73

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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.