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Finding the Fourth Proportional to 1,561.90, 2,155.44 and 863.26

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Solution

The fourth proportional to 1,561.90, 2,155.44 and 863.26 is: 1,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.90 : 2,155.44 = 863.26 : x
  2. Step 2: Convert to fraction form
    1,561.90/2,155.44 = 863.26/x
  3. Step 3: Cross multiply
    1,561.90x = 2,155.44 × 863.26
  4. Step 4: Simplify right side
    1,561.90x = 1,860,705.13
  5. Step 5: Solve for x
    x = 1,860,705.13/1,561.90
  6. Step 6: Final answer
    x = 1,191.31

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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.