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Finding the Fourth Proportional to 3,193.19, 4,787.19 and 1,436.90

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Solution

The fourth proportional to 3,193.19, 4,787.19 and 1,436.90 is: 2,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.19 : 4,787.19 = 1,436.90 : x
  2. Step 2: Convert to fraction form
    3,193.19/4,787.19 = 1,436.90/x
  3. Step 3: Cross multiply
    3,193.19x = 4,787.19 × 1,436.90
  4. Step 4: Simplify right side
    3,193.19x = 6,878,706.13
  5. Step 5: Solve for x
    x = 6,878,706.13/3,193.19
  6. Step 6: Final answer
    x = 2,154.18

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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.