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Finding the Fourth Proportional to 2,077.62, 2,866.74 and 1,683.96

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Solution

The fourth proportional to 2,077.62, 2,866.74 and 1,683.96 is: 2,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.62 : 2,866.74 = 1,683.96 : x
  2. Step 2: Convert to fraction form
    2,077.62/2,866.74 = 1,683.96/x
  3. Step 3: Cross multiply
    2,077.62x = 2,866.74 × 1,683.96
  4. Step 4: Simplify right side
    2,077.62x = 4,827,475.49
  5. Step 5: Solve for x
    x = 4,827,475.49/2,077.62
  6. Step 6: Final answer
    x = 2,323.56

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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.