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Finding the Fourth Proportional to 1,695.23, 2,541.78 and 963.80

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Solution

The fourth proportional to 1,695.23, 2,541.78 and 963.80 is: 1,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.23 : 2,541.78 = 963.80 : x
  2. Step 2: Convert to fraction form
    1,695.23/2,541.78 = 963.80/x
  3. Step 3: Cross multiply
    1,695.23x = 2,541.78 × 963.80
  4. Step 4: Simplify right side
    1,695.23x = 2,449,764.39
  5. Step 5: Solve for x
    x = 2,449,764.39/1,695.23
  6. Step 6: Final answer
    x = 1,445.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.