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Finding the Fourth Proportional to 2,065.16, 3,097.84 and 677.93

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Solution

The fourth proportional to 2,065.16, 3,097.84 and 677.93 is: 1,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.16 : 3,097.84 = 677.93 : x
  2. Step 2: Convert to fraction form
    2,065.16/3,097.84 = 677.93/x
  3. Step 3: Cross multiply
    2,065.16x = 3,097.84 × 677.93
  4. Step 4: Simplify right side
    2,065.16x = 2,100,118.67
  5. Step 5: Solve for x
    x = 2,100,118.67/2,065.16
  6. Step 6: Final answer
    x = 1,016.93

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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.