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Finding the Fourth Proportional to 1,346.84, 2,019.95 and 422.27

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Solution

The fourth proportional to 1,346.84, 2,019.95 and 422.27 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.84 : 2,019.95 = 422.27 : x
  2. Step 2: Convert to fraction form
    1,346.84/2,019.95 = 422.27/x
  3. Step 3: Cross multiply
    1,346.84x = 2,019.95 × 422.27
  4. Step 4: Simplify right side
    1,346.84x = 852,955.24
  5. Step 5: Solve for x
    x = 852,955.24/1,346.84
  6. Step 6: Final answer
    x = 633.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.