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Finding the Fourth Proportional to 3,429, 4,732.47 and 2,031.84

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Solution

The fourth proportional to 3,429, 4,732.47 and 2,031.84 is: 2,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429 : 4,732.47 = 2,031.84 : x
  2. Step 2: Convert to fraction form
    3,429/4,732.47 = 2,031.84/x
  3. Step 3: Cross multiply
    3,429x = 4,732.47 × 2,031.84
  4. Step 4: Simplify right side
    3,429x = 9,615,621.84
  5. Step 5: Solve for x
    x = 9,615,621.84/3,429
  6. Step 6: Final answer
    x = 2,804.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.