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Finding the Fourth Proportional to 2,308.02, 3,461.68 and 747.82

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Solution

The fourth proportional to 2,308.02, 3,461.68 and 747.82 is: 1,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.02 : 3,461.68 = 747.82 : x
  2. Step 2: Convert to fraction form
    2,308.02/3,461.68 = 747.82/x
  3. Step 3: Cross multiply
    2,308.02x = 3,461.68 × 747.82
  4. Step 4: Simplify right side
    2,308.02x = 2,588,713.54
  5. Step 5: Solve for x
    x = 2,588,713.54/2,308.02
  6. Step 6: Final answer
    x = 1,121.62

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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.