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Finding the Fourth Proportional to 2,331.03, 3,495.71 and 770.74

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Solution

The fourth proportional to 2,331.03, 3,495.71 and 770.74 is: 1,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.03 : 3,495.71 = 770.74 : x
  2. Step 2: Convert to fraction form
    2,331.03/3,495.71 = 770.74/x
  3. Step 3: Cross multiply
    2,331.03x = 3,495.71 × 770.74
  4. Step 4: Simplify right side
    2,331.03x = 2,694,284.04
  5. Step 5: Solve for x
    x = 2,694,284.04/2,331.03
  6. Step 6: Final answer
    x = 1,155.84

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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.