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Finding the Fourth Proportional to 2,052.93, 3,078.76 and 591.69

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Solution

The fourth proportional to 2,052.93, 3,078.76 and 591.69 is: 887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.93 : 3,078.76 = 591.69 : x
  2. Step 2: Convert to fraction form
    2,052.93/3,078.76 = 591.69/x
  3. Step 3: Cross multiply
    2,052.93x = 3,078.76 × 591.69
  4. Step 4: Simplify right side
    2,052.93x = 1,821,668.55
  5. Step 5: Solve for x
    x = 1,821,668.55/2,052.93
  6. Step 6: Final answer
    x = 887.35

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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.