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Finding the Fourth Proportional to 2,076.59, 3,114.54 and 760.20

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Solution

The fourth proportional to 2,076.59, 3,114.54 and 760.20 is: 1,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.59 : 3,114.54 = 760.20 : x
  2. Step 2: Convert to fraction form
    2,076.59/3,114.54 = 760.20/x
  3. Step 3: Cross multiply
    2,076.59x = 3,114.54 × 760.20
  4. Step 4: Simplify right side
    2,076.59x = 2,367,673.31
  5. Step 5: Solve for x
    x = 2,367,673.31/2,076.59
  6. Step 6: Final answer
    x = 1,140.18

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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.