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Finding the Fourth Proportional to 2,065.50, 3,097.49 and 678.43

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Solution

The fourth proportional to 2,065.50, 3,097.49 and 678.43 is: 1,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.50 : 3,097.49 = 678.43 : x
  2. Step 2: Convert to fraction form
    2,065.50/3,097.49 = 678.43/x
  3. Step 3: Cross multiply
    2,065.50x = 3,097.49 × 678.43
  4. Step 4: Simplify right side
    2,065.50x = 2,101,417.01
  5. Step 5: Solve for x
    x = 2,101,417.01/2,065.50
  6. Step 6: Final answer
    x = 1,017.39

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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.