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Finding the Fourth Proportional to 2,052.59, 3,077.96 and 591.40

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Solution

The fourth proportional to 2,052.59, 3,077.96 and 591.40 is: 886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.59 : 3,077.96 = 591.40 : x
  2. Step 2: Convert to fraction form
    2,052.59/3,077.96 = 591.40/x
  3. Step 3: Cross multiply
    2,052.59x = 3,077.96 × 591.40
  4. Step 4: Simplify right side
    2,052.59x = 1,820,290.15
  5. Step 5: Solve for x
    x = 1,820,290.15/2,052.59
  6. Step 6: Final answer
    x = 886.83

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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.