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Finding the Fourth Proportional to 2,146.98, 3,220.26 and 687.18

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Solution

The fourth proportional to 2,146.98, 3,220.26 and 687.18 is: 1,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.98 : 3,220.26 = 687.18 : x
  2. Step 2: Convert to fraction form
    2,146.98/3,220.26 = 687.18/x
  3. Step 3: Cross multiply
    2,146.98x = 3,220.26 × 687.18
  4. Step 4: Simplify right side
    2,146.98x = 2,212,898.27
  5. Step 5: Solve for x
    x = 2,212,898.27/2,146.98
  6. Step 6: Final answer
    x = 1,030.70

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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.