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Finding the Fourth Proportional to 3,119.78, 4,679.70 and 811.28

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Solution

The fourth proportional to 3,119.78, 4,679.70 and 811.28 is: 1,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.78 : 4,679.70 = 811.28 : x
  2. Step 2: Convert to fraction form
    3,119.78/4,679.70 = 811.28/x
  3. Step 3: Cross multiply
    3,119.78x = 4,679.70 × 811.28
  4. Step 4: Simplify right side
    3,119.78x = 3,796,547.02
  5. Step 5: Solve for x
    x = 3,796,547.02/3,119.78
  6. Step 6: Final answer
    x = 1,216.93

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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.