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Finding the Fourth Proportional to 2,142.90, 3,215.07 and 756.45

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Solution

The fourth proportional to 2,142.90, 3,215.07 and 756.45 is: 1,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.90 : 3,215.07 = 756.45 : x
  2. Step 2: Convert to fraction form
    2,142.90/3,215.07 = 756.45/x
  3. Step 3: Cross multiply
    2,142.90x = 3,215.07 × 756.45
  4. Step 4: Simplify right side
    2,142.90x = 2,432,039.70
  5. Step 5: Solve for x
    x = 2,432,039.70/2,142.90
  6. Step 6: Final answer
    x = 1,134.93

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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.