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Finding the Fourth Proportional to 2,007.06, 2,770.01 and 1,122.92

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Solution

The fourth proportional to 2,007.06, 2,770.01 and 1,122.92 is: 1,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.06 : 2,770.01 = 1,122.92 : x
  2. Step 2: Convert to fraction form
    2,007.06/2,770.01 = 1,122.92/x
  3. Step 3: Cross multiply
    2,007.06x = 2,770.01 × 1,122.92
  4. Step 4: Simplify right side
    2,007.06x = 3,110,499.63
  5. Step 5: Solve for x
    x = 3,110,499.63/2,007.06
  6. Step 6: Final answer
    x = 1,549.78

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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.