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Finding the Fourth Proportional to 2,223.05, 3,330.92 and 761.40

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Solution

The fourth proportional to 2,223.05, 3,330.92 and 761.40 is: 1,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.05 : 3,330.92 = 761.40 : x
  2. Step 2: Convert to fraction form
    2,223.05/3,330.92 = 761.40/x
  3. Step 3: Cross multiply
    2,223.05x = 3,330.92 × 761.40
  4. Step 4: Simplify right side
    2,223.05x = 2,536,158.68
  5. Step 5: Solve for x
    x = 2,536,158.68/2,223.05
  6. Step 6: Final answer
    x = 1,140.85

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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.