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Finding the Fourth Proportional to 2,122.18, 3,182.73 and 660.58

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Solution

The fourth proportional to 2,122.18, 3,182.73 and 660.58 is: 990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.18 : 3,182.73 = 660.58 : x
  2. Step 2: Convert to fraction form
    2,122.18/3,182.73 = 660.58/x
  3. Step 3: Cross multiply
    2,122.18x = 3,182.73 × 660.58
  4. Step 4: Simplify right side
    2,122.18x = 2,102,437.35
  5. Step 5: Solve for x
    x = 2,102,437.35/2,122.18
  6. Step 6: Final answer
    x = 990.70

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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.