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Finding the Fourth Proportional to 2,052.86, 3,078.59 and 591.62

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Solution

The fourth proportional to 2,052.86, 3,078.59 and 591.62 is: 887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.86 : 3,078.59 = 591.62 : x
  2. Step 2: Convert to fraction form
    2,052.86/3,078.59 = 591.62/x
  3. Step 3: Cross multiply
    2,052.86x = 3,078.59 × 591.62
  4. Step 4: Simplify right side
    2,052.86x = 1,821,337.06
  5. Step 5: Solve for x
    x = 1,821,337.06/2,052.86
  6. Step 6: Final answer
    x = 887.22

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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.