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Finding the Fourth Proportional to 2,284.31, 3,426.47 and 552.94

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Solution

The fourth proportional to 2,284.31, 3,426.47 and 552.94 is: 829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.31 : 3,426.47 = 552.94 : x
  2. Step 2: Convert to fraction form
    2,284.31/3,426.47 = 552.94/x
  3. Step 3: Cross multiply
    2,284.31x = 3,426.47 × 552.94
  4. Step 4: Simplify right side
    2,284.31x = 1,894,623.06
  5. Step 5: Solve for x
    x = 1,894,623.06/2,284.31
  6. Step 6: Final answer
    x = 829.41

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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.