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Finding the Fourth Proportional to 2,994.29, 4,493.49 and 1,046.49

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Solution

The fourth proportional to 2,994.29, 4,493.49 and 1,046.49 is: 1,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.29 : 4,493.49 = 1,046.49 : x
  2. Step 2: Convert to fraction form
    2,994.29/4,493.49 = 1,046.49/x
  3. Step 3: Cross multiply
    2,994.29x = 4,493.49 × 1,046.49
  4. Step 4: Simplify right side
    2,994.29x = 4,702,392.35
  5. Step 5: Solve for x
    x = 4,702,392.35/2,994.29
  6. Step 6: Final answer
    x = 1,570.45

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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.