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Finding the Fourth Proportional to 2,994.52, 4,129.14 and 2,050.47

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Solution

The fourth proportional to 2,994.52, 4,129.14 and 2,050.47 is: 2,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.52 : 4,129.14 = 2,050.47 : x
  2. Step 2: Convert to fraction form
    2,994.52/4,129.14 = 2,050.47/x
  3. Step 3: Cross multiply
    2,994.52x = 4,129.14 × 2,050.47
  4. Step 4: Simplify right side
    2,994.52x = 8,466,677.70
  5. Step 5: Solve for x
    x = 8,466,677.70/2,994.52
  6. Step 6: Final answer
    x = 2,827.39

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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.