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Finding the Fourth Proportional to 3,006.92, 4,150.90 and 1,765

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Solution

The fourth proportional to 3,006.92, 4,150.90 and 1,765 is: 2,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.92 : 4,150.90 = 1,765 : x
  2. Step 2: Convert to fraction form
    3,006.92/4,150.90 = 1,765/x
  3. Step 3: Cross multiply
    3,006.92x = 4,150.90 × 1,765
  4. Step 4: Simplify right side
    3,006.92x = 7,326,338.50
  5. Step 5: Solve for x
    x = 7,326,338.50/3,006.92
  6. Step 6: Final answer
    x = 2,436.49

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1.5x scale

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.