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Finding the Fourth Proportional to 2,052.14, 3,078.75 and 591.41

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Solution

The fourth proportional to 2,052.14, 3,078.75 and 591.41 is: 887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.14 : 3,078.75 = 591.41 : x
  2. Step 2: Convert to fraction form
    2,052.14/3,078.75 = 591.41/x
  3. Step 3: Cross multiply
    2,052.14x = 3,078.75 × 591.41
  4. Step 4: Simplify right side
    2,052.14x = 1,820,803.54
  5. Step 5: Solve for x
    x = 1,820,803.54/2,052.14
  6. Step 6: Final answer
    x = 887.27

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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.