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Finding the Fourth Proportional to 2,223.63, 3,046.34 and 2,140.54

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Solution

The fourth proportional to 2,223.63, 3,046.34 and 2,140.54 is: 2,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.63 : 3,046.34 = 2,140.54 : x
  2. Step 2: Convert to fraction form
    2,223.63/3,046.34 = 2,140.54/x
  3. Step 3: Cross multiply
    2,223.63x = 3,046.34 × 2,140.54
  4. Step 4: Simplify right side
    2,223.63x = 6,520,812.62
  5. Step 5: Solve for x
    x = 6,520,812.62/2,223.63
  6. Step 6: Final answer
    x = 2,932.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.