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Finding the Fourth Proportional to 2,097.79, 3,146.38 and 1,220.71

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Solution

The fourth proportional to 2,097.79, 3,146.38 and 1,220.71 is: 1,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.79 : 3,146.38 = 1,220.71 : x
  2. Step 2: Convert to fraction form
    2,097.79/3,146.38 = 1,220.71/x
  3. Step 3: Cross multiply
    2,097.79x = 3,146.38 × 1,220.71
  4. Step 4: Simplify right side
    2,097.79x = 3,840,817.53
  5. Step 5: Solve for x
    x = 3,840,817.53/2,097.79
  6. Step 6: Final answer
    x = 1,830.89

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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.