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Finding the Fourth Proportional to 2,029.43, 3,044.96 and 934.45

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Solution

The fourth proportional to 2,029.43, 3,044.96 and 934.45 is: 1,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.43 : 3,044.96 = 934.45 : x
  2. Step 2: Convert to fraction form
    2,029.43/3,044.96 = 934.45/x
  3. Step 3: Cross multiply
    2,029.43x = 3,044.96 × 934.45
  4. Step 4: Simplify right side
    2,029.43x = 2,845,362.87
  5. Step 5: Solve for x
    x = 2,845,362.87/2,029.43
  6. Step 6: Final answer
    x = 1,402.05

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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.