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Finding the Fourth Proportional to 2,076.10, 3,113.34 and 776.86

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Solution

The fourth proportional to 2,076.10, 3,113.34 and 776.86 is: 1,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.10 : 3,113.34 = 776.86 : x
  2. Step 2: Convert to fraction form
    2,076.10/3,113.34 = 776.86/x
  3. Step 3: Cross multiply
    2,076.10x = 3,113.34 × 776.86
  4. Step 4: Simplify right side
    2,076.10x = 2,418,629.31
  5. Step 5: Solve for x
    x = 2,418,629.31/2,076.10
  6. Step 6: Final answer
    x = 1,164.99

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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.