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Finding the Fourth Proportional to 2,097.57, 3,142.71 and 1,871.58

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Solution

The fourth proportional to 2,097.57, 3,142.71 and 1,871.58 is: 2,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.57 : 3,142.71 = 1,871.58 : x
  2. Step 2: Convert to fraction form
    2,097.57/3,142.71 = 1,871.58/x
  3. Step 3: Cross multiply
    2,097.57x = 3,142.71 × 1,871.58
  4. Step 4: Simplify right side
    2,097.57x = 5,881,833.18
  5. Step 5: Solve for x
    x = 5,881,833.18/2,097.57
  6. Step 6: Final answer
    x = 2,804.12

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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.