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Finding the Fourth Proportional to 2,064.18, 3,096.12 and 677.50

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Solution

The fourth proportional to 2,064.18, 3,096.12 and 677.50 is: 1,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.18 : 3,096.12 = 677.50 : x
  2. Step 2: Convert to fraction form
    2,064.18/3,096.12 = 677.50/x
  3. Step 3: Cross multiply
    2,064.18x = 3,096.12 × 677.50
  4. Step 4: Simplify right side
    2,064.18x = 2,097,616.10
  5. Step 5: Solve for x
    x = 2,097,616.10/2,064.18
  6. Step 6: Final answer
    x = 1,016.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.