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Finding the Fourth Proportional to 2,006.64, 2,749.14 and 1,928.88

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Solution

The fourth proportional to 2,006.64, 2,749.14 and 1,928.88 is: 2,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.64 : 2,749.14 = 1,928.88 : x
  2. Step 2: Convert to fraction form
    2,006.64/2,749.14 = 1,928.88/x
  3. Step 3: Cross multiply
    2,006.64x = 2,749.14 × 1,928.88
  4. Step 4: Simplify right side
    2,006.64x = 5,302,761.16
  5. Step 5: Solve for x
    x = 5,302,761.16/2,006.64
  6. Step 6: Final answer
    x = 2,642.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.