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Finding the Fourth Proportional to 2,284.70, 3,425.67 and 803.10

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Solution

The fourth proportional to 2,284.70, 3,425.67 and 803.10 is: 1,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.70 : 3,425.67 = 803.10 : x
  2. Step 2: Convert to fraction form
    2,284.70/3,425.67 = 803.10/x
  3. Step 3: Cross multiply
    2,284.70x = 3,425.67 × 803.10
  4. Step 4: Simplify right side
    2,284.70x = 2,751,155.58
  5. Step 5: Solve for x
    x = 2,751,155.58/2,284.70
  6. Step 6: Final answer
    x = 1,204.17

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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.