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Finding the Fourth Proportional to 2,761.70, 4,135.88 and 1,588.14

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Solution

The fourth proportional to 2,761.70, 4,135.88 and 1,588.14 is: 2,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.70 : 4,135.88 = 1,588.14 : x
  2. Step 2: Convert to fraction form
    2,761.70/4,135.88 = 1,588.14/x
  3. Step 3: Cross multiply
    2,761.70x = 4,135.88 × 1,588.14
  4. Step 4: Simplify right side
    2,761.70x = 6,568,360.43
  5. Step 5: Solve for x
    x = 6,568,360.43/2,761.70
  6. Step 6: Final answer
    x = 2,378.38

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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.