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Finding the Fourth Proportional to 2,052.69, 3,078.95 and 591.80

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Solution

The fourth proportional to 2,052.69, 3,078.95 and 591.80 is: 887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.69 : 3,078.95 = 591.80 : x
  2. Step 2: Convert to fraction form
    2,052.69/3,078.95 = 591.80/x
  3. Step 3: Cross multiply
    2,052.69x = 3,078.95 × 591.80
  4. Step 4: Simplify right side
    2,052.69x = 1,822,104.26
  5. Step 5: Solve for x
    x = 1,822,104.26/2,052.69
  6. Step 6: Final answer
    x = 887.67

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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.