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Finding the Fourth Proportional to 2,052.20, 3,078.84 and 591.32

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Solution

The fourth proportional to 2,052.20, 3,078.84 and 591.32 is: 887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.20 : 3,078.84 = 591.32 : x
  2. Step 2: Convert to fraction form
    2,052.20/3,078.84 = 591.32/x
  3. Step 3: Cross multiply
    2,052.20x = 3,078.84 × 591.32
  4. Step 4: Simplify right side
    2,052.20x = 1,820,579.67
  5. Step 5: Solve for x
    x = 1,820,579.67/2,052.20
  6. Step 6: Final answer
    x = 887.14

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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.