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Finding the Fourth Proportional to 2,077.53, 2,866.68 and 1,238.21

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Solution

The fourth proportional to 2,077.53, 2,866.68 and 1,238.21 is: 1,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.53 : 2,866.68 = 1,238.21 : x
  2. Step 2: Convert to fraction form
    2,077.53/2,866.68 = 1,238.21/x
  3. Step 3: Cross multiply
    2,077.53x = 2,866.68 × 1,238.21
  4. Step 4: Simplify right side
    2,077.53x = 3,549,551.84
  5. Step 5: Solve for x
    x = 3,549,551.84/2,077.53
  6. Step 6: Final answer
    x = 1,708.54

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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.