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Finding the Fourth Proportional to 2,284.34, 3,426.62 and 640.99

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Solution

The fourth proportional to 2,284.34, 3,426.62 and 640.99 is: 961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.34 : 3,426.62 = 640.99 : x
  2. Step 2: Convert to fraction form
    2,284.34/3,426.62 = 640.99/x
  3. Step 3: Cross multiply
    2,284.34x = 3,426.62 × 640.99
  4. Step 4: Simplify right side
    2,284.34x = 2,196,417.38
  5. Step 5: Solve for x
    x = 2,196,417.38/2,284.34
  6. Step 6: Final answer
    x = 961.51

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1.5x scale

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.