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Finding the Fourth Proportional to 2,019.76, 2,787.42 and 1,135.60

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Solution

The fourth proportional to 2,019.76, 2,787.42 and 1,135.60 is: 1,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.76 : 2,787.42 = 1,135.60 : x
  2. Step 2: Convert to fraction form
    2,019.76/2,787.42 = 1,135.60/x
  3. Step 3: Cross multiply
    2,019.76x = 2,787.42 × 1,135.60
  4. Step 4: Simplify right side
    2,019.76x = 3,165,394.15
  5. Step 5: Solve for x
    x = 3,165,394.15/2,019.76
  6. Step 6: Final answer
    x = 1,567.21

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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.