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Finding the Fourth Proportional to 2,492.66, 3,739.18 and 761.42

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Solution

The fourth proportional to 2,492.66, 3,739.18 and 761.42 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.66 : 3,739.18 = 761.42 : x
  2. Step 2: Convert to fraction form
    2,492.66/3,739.18 = 761.42/x
  3. Step 3: Cross multiply
    2,492.66x = 3,739.18 × 761.42
  4. Step 4: Simplify right side
    2,492.66x = 2,847,086.44
  5. Step 5: Solve for x
    x = 2,847,086.44/2,492.66
  6. Step 6: Final answer
    x = 1,142.19

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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.