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Finding the Fourth Proportional to 2,127.68, 3,193.02 and 1,578.18

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Solution

The fourth proportional to 2,127.68, 3,193.02 and 1,578.18 is: 2,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.68 : 3,193.02 = 1,578.18 : x
  2. Step 2: Convert to fraction form
    2,127.68/3,193.02 = 1,578.18/x
  3. Step 3: Cross multiply
    2,127.68x = 3,193.02 × 1,578.18
  4. Step 4: Simplify right side
    2,127.68x = 5,039,160.30
  5. Step 5: Solve for x
    x = 5,039,160.30/2,127.68
  6. Step 6: Final answer
    x = 2,368.39

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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.