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Finding the Fourth Proportional to 2,554.47, 3,829.97 and 888.17

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Solution

The fourth proportional to 2,554.47, 3,829.97 and 888.17 is: 1,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.47 : 3,829.97 = 888.17 : x
  2. Step 2: Convert to fraction form
    2,554.47/3,829.97 = 888.17/x
  3. Step 3: Cross multiply
    2,554.47x = 3,829.97 × 888.17
  4. Step 4: Simplify right side
    2,554.47x = 3,401,640.86
  5. Step 5: Solve for x
    x = 3,401,640.86/2,554.47
  6. Step 6: Final answer
    x = 1,331.64

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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.