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Finding the Fourth Proportional to 2,330.22, 3,495.69 and 770.39

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Solution

The fourth proportional to 2,330.22, 3,495.69 and 770.39 is: 1,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.22 : 3,495.69 = 770.39 : x
  2. Step 2: Convert to fraction form
    2,330.22/3,495.69 = 770.39/x
  3. Step 3: Cross multiply
    2,330.22x = 3,495.69 × 770.39
  4. Step 4: Simplify right side
    2,330.22x = 2,693,032.03
  5. Step 5: Solve for x
    x = 2,693,032.03/2,330.22
  6. Step 6: Final answer
    x = 1,155.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.