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Finding the Fourth Proportional to 2,065.49, 3,098.44 and 678.77

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Solution

The fourth proportional to 2,065.49, 3,098.44 and 678.77 is: 1,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.49 : 3,098.44 = 678.77 : x
  2. Step 2: Convert to fraction form
    2,065.49/3,098.44 = 678.77/x
  3. Step 3: Cross multiply
    2,065.49x = 3,098.44 × 678.77
  4. Step 4: Simplify right side
    2,065.49x = 2,103,124.72
  5. Step 5: Solve for x
    x = 2,103,124.72/2,065.49
  6. Step 6: Final answer
    x = 1,018.22

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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.