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Finding the Fourth Proportional to 1,346.84, 2,019.57 and 422.49

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Solution

The fourth proportional to 1,346.84, 2,019.57 and 422.49 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.84 : 2,019.57 = 422.49 : x
  2. Step 2: Convert to fraction form
    1,346.84/2,019.57 = 422.49/x
  3. Step 3: Cross multiply
    1,346.84x = 2,019.57 × 422.49
  4. Step 4: Simplify right side
    1,346.84x = 853,248.13
  5. Step 5: Solve for x
    x = 853,248.13/1,346.84
  6. Step 6: Final answer
    x = 633.52

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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.