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Finding the Fourth Proportional to 3,046.63, 4,569.29 and 966.82

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Solution

The fourth proportional to 3,046.63, 4,569.29 and 966.82 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.63 : 4,569.29 = 966.82 : x
  2. Step 2: Convert to fraction form
    3,046.63/4,569.29 = 966.82/x
  3. Step 3: Cross multiply
    3,046.63x = 4,569.29 × 966.82
  4. Step 4: Simplify right side
    3,046.63x = 4,417,682.33
  5. Step 5: Solve for x
    x = 4,417,682.33/3,046.63
  6. Step 6: Final answer
    x = 1,450.02

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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.