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Finding the Fourth Proportional to 2,207.70, 3,046.20 and 1,323.60

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Solution

The fourth proportional to 2,207.70, 3,046.20 and 1,323.60 is: 1,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.70 : 3,046.20 = 1,323.60 : x
  2. Step 2: Convert to fraction form
    2,207.70/3,046.20 = 1,323.60/x
  3. Step 3: Cross multiply
    2,207.70x = 3,046.20 × 1,323.60
  4. Step 4: Simplify right side
    2,207.70x = 4,031,950.32
  5. Step 5: Solve for x
    x = 4,031,950.32/2,207.70
  6. Step 6: Final answer
    x = 1,826.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.