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Finding the Fourth Proportional to 2,076.81, 3,114.46 and 760.13

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Solution

The fourth proportional to 2,076.81, 3,114.46 and 760.13 is: 1,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.81 : 3,114.46 = 760.13 : x
  2. Step 2: Convert to fraction form
    2,076.81/3,114.46 = 760.13/x
  3. Step 3: Cross multiply
    2,076.81x = 3,114.46 × 760.13
  4. Step 4: Simplify right side
    2,076.81x = 2,367,410.12
  5. Step 5: Solve for x
    x = 2,367,410.12/2,076.81
  6. Step 6: Final answer
    x = 1,139.92

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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.