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Finding the Fourth Proportional to 2,142.55, 3,214.20 and 756.69

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Solution

The fourth proportional to 2,142.55, 3,214.20 and 756.69 is: 1,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.55 : 3,214.20 = 756.69 : x
  2. Step 2: Convert to fraction form
    2,142.55/3,214.20 = 756.69/x
  3. Step 3: Cross multiply
    2,142.55x = 3,214.20 × 756.69
  4. Step 4: Simplify right side
    2,142.55x = 2,432,133.14
  5. Step 5: Solve for x
    x = 2,432,133.14/2,142.55
  6. Step 6: Final answer
    x = 1,135.16

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