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Finding the Fourth Proportional to 2,052.50, 3,078.33 and 591.33

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Solution

The fourth proportional to 2,052.50, 3,078.33 and 591.33 is: 886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.50 : 3,078.33 = 591.33 : x
  2. Step 2: Convert to fraction form
    2,052.50/3,078.33 = 591.33/x
  3. Step 3: Cross multiply
    2,052.50x = 3,078.33 × 591.33
  4. Step 4: Simplify right side
    2,052.50x = 1,820,308.88
  5. Step 5: Solve for x
    x = 1,820,308.88/2,052.50
  6. Step 6: Final answer
    x = 886.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.