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Finding the Fourth Proportional to 2,652.82, 3,661.34 and 1,534.44

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Solution

The fourth proportional to 2,652.82, 3,661.34 and 1,534.44 is: 2,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.82 : 3,661.34 = 1,534.44 : x
  2. Step 2: Convert to fraction form
    2,652.82/3,661.34 = 1,534.44/x
  3. Step 3: Cross multiply
    2,652.82x = 3,661.34 × 1,534.44
  4. Step 4: Simplify right side
    2,652.82x = 5,618,088.19
  5. Step 5: Solve for x
    x = 5,618,088.19/2,652.82
  6. Step 6: Final answer
    x = 2,117.78

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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.