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Finding the Fourth Proportional to 1,346.19, 2,019.30 and 421.71

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Solution

The fourth proportional to 1,346.19, 2,019.30 and 421.71 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.19 : 2,019.30 = 421.71 : x
  2. Step 2: Convert to fraction form
    1,346.19/2,019.30 = 421.71/x
  3. Step 3: Cross multiply
    1,346.19x = 2,019.30 × 421.71
  4. Step 4: Simplify right side
    1,346.19x = 851,549.85
  5. Step 5: Solve for x
    x = 851,549.85/1,346.19
  6. Step 6: Final answer
    x = 632.56

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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.