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Finding the Fourth Proportional to 2,223.46, 3,337.20 and 1,184.34

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Solution

The fourth proportional to 2,223.46, 3,337.20 and 1,184.34 is: 1,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.46 : 3,337.20 = 1,184.34 : x
  2. Step 2: Convert to fraction form
    2,223.46/3,337.20 = 1,184.34/x
  3. Step 3: Cross multiply
    2,223.46x = 3,337.20 × 1,184.34
  4. Step 4: Simplify right side
    2,223.46x = 3,952,379.45
  5. Step 5: Solve for x
    x = 3,952,379.45/2,223.46
  6. Step 6: Final answer
    x = 1,777.58

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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.