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Finding the Fourth Proportional to 2,787.84, 4,173.56 and 1,861.10

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Solution

The fourth proportional to 2,787.84, 4,173.56 and 1,861.10 is: 2,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.84 : 4,173.56 = 1,861.10 : x
  2. Step 2: Convert to fraction form
    2,787.84/4,173.56 = 1,861.10/x
  3. Step 3: Cross multiply
    2,787.84x = 4,173.56 × 1,861.10
  4. Step 4: Simplify right side
    2,787.84x = 7,767,427.60
  5. Step 5: Solve for x
    x = 7,767,427.60/2,787.84
  6. Step 6: Final answer
    x = 2,786.18

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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.