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Finding the Fourth Proportional to 3,159.32, 4,740 and 1,493.96

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Solution

The fourth proportional to 3,159.32, 4,740 and 1,493.96 is: 2,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.32 : 4,740 = 1,493.96 : x
  2. Step 2: Convert to fraction form
    3,159.32/4,740 = 1,493.96/x
  3. Step 3: Cross multiply
    3,159.32x = 4,740 × 1,493.96
  4. Step 4: Simplify right side
    3,159.32x = 7,081,370.40
  5. Step 5: Solve for x
    x = 7,081,370.40/3,159.32
  6. Step 6: Final answer
    x = 2,241.42

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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.