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Finding the Fourth Proportional to 2,050.05, 3,074.75 and 588.87

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Solution

The fourth proportional to 2,050.05, 3,074.75 and 588.87 is: 883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.05 : 3,074.75 = 588.87 : x
  2. Step 2: Convert to fraction form
    2,050.05/3,074.75 = 588.87/x
  3. Step 3: Cross multiply
    2,050.05x = 3,074.75 × 588.87
  4. Step 4: Simplify right side
    2,050.05x = 1,810,625.09
  5. Step 5: Solve for x
    x = 1,810,625.09/2,050.05
  6. Step 6: Final answer
    x = 883.21

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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.