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Finding the Fourth Proportional to 1,346.41, 2,019.82 and 421.87

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Solution

The fourth proportional to 1,346.41, 2,019.82 and 421.87 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.41 : 2,019.82 = 421.87 : x
  2. Step 2: Convert to fraction form
    1,346.41/2,019.82 = 421.87/x
  3. Step 3: Cross multiply
    1,346.41x = 2,019.82 × 421.87
  4. Step 4: Simplify right side
    1,346.41x = 852,091.36
  5. Step 5: Solve for x
    x = 852,091.36/1,346.41
  6. Step 6: Final answer
    x = 632.86

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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.