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Finding the Fourth Proportional to 2,929.42, 4,394.13 and 1,471.42

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Solution

The fourth proportional to 2,929.42, 4,394.13 and 1,471.42 is: 2,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.42 : 4,394.13 = 1,471.42 : x
  2. Step 2: Convert to fraction form
    2,929.42/4,394.13 = 1,471.42/x
  3. Step 3: Cross multiply
    2,929.42x = 4,394.13 × 1,471.42
  4. Step 4: Simplify right side
    2,929.42x = 6,465,610.76
  5. Step 5: Solve for x
    x = 6,465,610.76/2,929.42
  6. Step 6: Final answer
    x = 2,207.13

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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.