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Finding the Fourth Proportional to 1,455.62, 2,006.62 and 1,105.70

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Solution

The fourth proportional to 1,455.62, 2,006.62 and 1,105.70 is: 1,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.62 : 2,006.62 = 1,105.70 : x
  2. Step 2: Convert to fraction form
    1,455.62/2,006.62 = 1,105.70/x
  3. Step 3: Cross multiply
    1,455.62x = 2,006.62 × 1,105.70
  4. Step 4: Simplify right side
    1,455.62x = 2,218,719.73
  5. Step 5: Solve for x
    x = 2,218,719.73/1,455.62
  6. Step 6: Final answer
    x = 1,524.24

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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.