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Finding the Fourth Proportional to 2,223.05, 3,331.94 and 761.00

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Solution

The fourth proportional to 2,223.05, 3,331.94 and 761.00 is: 1,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.05 : 3,331.94 = 761.00 : x
  2. Step 2: Convert to fraction form
    2,223.05/3,331.94 = 761.00/x
  3. Step 3: Cross multiply
    2,223.05x = 3,331.94 × 761.00
  4. Step 4: Simplify right side
    2,223.05x = 2,535,585.88
  5. Step 5: Solve for x
    x = 2,535,585.88/2,223.05
  6. Step 6: Final answer
    x = 1,140.59

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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.