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Finding the Fourth Proportional to 2,783.82, 4,170.05 and 1,318.53

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Solution

The fourth proportional to 2,783.82, 4,170.05 and 1,318.53 is: 1,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.82 : 4,170.05 = 1,318.53 : x
  2. Step 2: Convert to fraction form
    2,783.82/4,170.05 = 1,318.53/x
  3. Step 3: Cross multiply
    2,783.82x = 4,170.05 × 1,318.53
  4. Step 4: Simplify right side
    2,783.82x = 5,498,315.18
  5. Step 5: Solve for x
    x = 5,498,315.18/2,783.82
  6. Step 6: Final answer
    x = 1,975.10

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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.