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Finding the Fourth Proportional to 3,105, 4,658.22 and 1,053

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Solution

The fourth proportional to 3,105, 4,658.22 and 1,053 is: 1,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105 : 4,658.22 = 1,053 : x
  2. Step 2: Convert to fraction form
    3,105/4,658.22 = 1,053/x
  3. Step 3: Cross multiply
    3,105x = 4,658.22 × 1,053
  4. Step 4: Simplify right side
    3,105x = 4,905,105.66
  5. Step 5: Solve for x
    x = 4,905,105.66/3,105
  6. Step 6: Final answer
    x = 1,579.74

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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.