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Finding the Fourth Proportional to 2,570.14, 3,546.82 and 1,522

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Solution

The fourth proportional to 2,570.14, 3,546.82 and 1,522 is: 2,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.14 : 3,546.82 = 1,522 : x
  2. Step 2: Convert to fraction form
    2,570.14/3,546.82 = 1,522/x
  3. Step 3: Cross multiply
    2,570.14x = 3,546.82 × 1,522
  4. Step 4: Simplify right side
    2,570.14x = 5,398,260.04
  5. Step 5: Solve for x
    x = 5,398,260.04/2,570.14
  6. Step 6: Final answer
    x = 2,100.38

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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.