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Finding the Fourth Proportional to 4,968.66, 7,453 and 1,270.76

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Solution

The fourth proportional to 4,968.66, 7,453 and 1,270.76 is: 1,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.66 : 7,453 = 1,270.76 : x
  2. Step 2: Convert to fraction form
    4,968.66/7,453 = 1,270.76/x
  3. Step 3: Cross multiply
    4,968.66x = 7,453 × 1,270.76
  4. Step 4: Simplify right side
    4,968.66x = 9,470,974.28
  5. Step 5: Solve for x
    x = 9,470,974.28/4,968.66
  6. Step 6: Final answer
    x = 1,906.14

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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.