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Finding the Fourth Proportional to 2,031.14, 3,046.71 and 492.14

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Solution

The fourth proportional to 2,031.14, 3,046.71 and 492.14 is: 738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.14 : 3,046.71 = 492.14 : x
  2. Step 2: Convert to fraction form
    2,031.14/3,046.71 = 492.14/x
  3. Step 3: Cross multiply
    2,031.14x = 3,046.71 × 492.14
  4. Step 4: Simplify right side
    2,031.14x = 1,499,392.63
  5. Step 5: Solve for x
    x = 1,499,392.63/2,031.14
  6. Step 6: Final answer
    x = 738.20

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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.