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Finding the Fourth Proportional to 2,052.53, 3,078.18 and 591.79

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Solution

The fourth proportional to 2,052.53, 3,078.18 and 591.79 is: 887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.53 : 3,078.18 = 591.79 : x
  2. Step 2: Convert to fraction form
    2,052.53/3,078.18 = 591.79/x
  3. Step 3: Cross multiply
    2,052.53x = 3,078.18 × 591.79
  4. Step 4: Simplify right side
    2,052.53x = 1,821,636.14
  5. Step 5: Solve for x
    x = 1,821,636.14/2,052.53
  6. Step 6: Final answer
    x = 887.51

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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.