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Finding the Fourth Proportional to 2,065.86, 3,098.36 and 678.82

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Solution

The fourth proportional to 2,065.86, 3,098.36 and 678.82 is: 1,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.86 : 3,098.36 = 678.82 : x
  2. Step 2: Convert to fraction form
    2,065.86/3,098.36 = 678.82/x
  3. Step 3: Cross multiply
    2,065.86x = 3,098.36 × 678.82
  4. Step 4: Simplify right side
    2,065.86x = 2,103,228.74
  5. Step 5: Solve for x
    x = 2,103,228.74/2,065.86
  6. Step 6: Final answer
    x = 1,018.09

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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.