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Finding the Fourth Proportional to 2,050.18, 3,074.63 and 588.94

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Solution

The fourth proportional to 2,050.18, 3,074.63 and 588.94 is: 883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.18 : 3,074.63 = 588.94 : x
  2. Step 2: Convert to fraction form
    2,050.18/3,074.63 = 588.94/x
  3. Step 3: Cross multiply
    2,050.18x = 3,074.63 × 588.94
  4. Step 4: Simplify right side
    2,050.18x = 1,810,772.59
  5. Step 5: Solve for x
    x = 1,810,772.59/2,050.18
  6. Step 6: Final answer
    x = 883.23

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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.