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Finding the Fourth Proportional to 1,261.23, 1,891.34 and 742.28

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Solution

The fourth proportional to 1,261.23, 1,891.34 and 742.28 is: 1,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.23 : 1,891.34 = 742.28 : x
  2. Step 2: Convert to fraction form
    1,261.23/1,891.34 = 742.28/x
  3. Step 3: Cross multiply
    1,261.23x = 1,891.34 × 742.28
  4. Step 4: Simplify right side
    1,261.23x = 1,403,903.86
  5. Step 5: Solve for x
    x = 1,403,903.86/1,261.23
  6. Step 6: Final answer
    x = 1,113.12

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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.