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Finding the Fourth Proportional to 2,019.84, 2,787.60 and 1,234.32

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Solution

The fourth proportional to 2,019.84, 2,787.60 and 1,234.32 is: 1,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.84 : 2,787.60 = 1,234.32 : x
  2. Step 2: Convert to fraction form
    2,019.84/2,787.60 = 1,234.32/x
  3. Step 3: Cross multiply
    2,019.84x = 2,787.60 × 1,234.32
  4. Step 4: Simplify right side
    2,019.84x = 3,440,790.43
  5. Step 5: Solve for x
    x = 3,440,790.43/2,019.84
  6. Step 6: Final answer
    x = 1,703.50

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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.