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Finding the Fourth Proportional to 1,787.44, 2,465.82 and 1,190.21

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Solution

The fourth proportional to 1,787.44, 2,465.82 and 1,190.21 is: 1,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.44 : 2,465.82 = 1,190.21 : x
  2. Step 2: Convert to fraction form
    1,787.44/2,465.82 = 1,190.21/x
  3. Step 3: Cross multiply
    1,787.44x = 2,465.82 × 1,190.21
  4. Step 4: Simplify right side
    1,787.44x = 2,934,841.82
  5. Step 5: Solve for x
    x = 2,934,841.82/1,787.44
  6. Step 6: Final answer
    x = 1,641.92

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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.