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Finding the Fourth Proportional to 2,553.66, 3,528.28 and 2,271.38

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Solution

The fourth proportional to 2,553.66, 3,528.28 and 2,271.38 is: 3,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.66 : 3,528.28 = 2,271.38 : x
  2. Step 2: Convert to fraction form
    2,553.66/3,528.28 = 2,271.38/x
  3. Step 3: Cross multiply
    2,553.66x = 3,528.28 × 2,271.38
  4. Step 4: Simplify right side
    2,553.66x = 8,014,064.63
  5. Step 5: Solve for x
    x = 8,014,064.63/2,553.66
  6. Step 6: Final answer
    x = 3,138.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.