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Finding the Fourth Proportional to 1,954.58, 2,695.42 and 1,581.30

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Solution

The fourth proportional to 1,954.58, 2,695.42 and 1,581.30 is: 2,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.58 : 2,695.42 = 1,581.30 : x
  2. Step 2: Convert to fraction form
    1,954.58/2,695.42 = 1,581.30/x
  3. Step 3: Cross multiply
    1,954.58x = 2,695.42 × 1,581.30
  4. Step 4: Simplify right side
    1,954.58x = 4,262,267.65
  5. Step 5: Solve for x
    x = 4,262,267.65/1,954.58
  6. Step 6: Final answer
    x = 2,180.66

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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.