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Finding the Fourth Proportional to 2,097.81, 2,893.50 and 1,817.55

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Solution

The fourth proportional to 2,097.81, 2,893.50 and 1,817.55 is: 2,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.81 : 2,893.50 = 1,817.55 : x
  2. Step 2: Convert to fraction form
    2,097.81/2,893.50 = 1,817.55/x
  3. Step 3: Cross multiply
    2,097.81x = 2,893.50 × 1,817.55
  4. Step 4: Simplify right side
    2,097.81x = 5,259,073.07
  5. Step 5: Solve for x
    x = 5,259,073.07/2,097.81
  6. Step 6: Final answer
    x = 2,506.93

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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.