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Finding the Fourth Proportional to 1,695.82, 2,342.49 and 1,538.62

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Solution

The fourth proportional to 1,695.82, 2,342.49 and 1,538.62 is: 2,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.82 : 2,342.49 = 1,538.62 : x
  2. Step 2: Convert to fraction form
    1,695.82/2,342.49 = 1,538.62/x
  3. Step 3: Cross multiply
    1,695.82x = 2,342.49 × 1,538.62
  4. Step 4: Simplify right side
    1,695.82x = 3,604,201.96
  5. Step 5: Solve for x
    x = 3,604,201.96/1,695.82
  6. Step 6: Final answer
    x = 2,125.34

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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.