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Finding the Fourth Proportional to 2,003.75, 3,005.64 and 1,573.64

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Solution

The fourth proportional to 2,003.75, 3,005.64 and 1,573.64 is: 2,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.75 : 3,005.64 = 1,573.64 : x
  2. Step 2: Convert to fraction form
    2,003.75/3,005.64 = 1,573.64/x
  3. Step 3: Cross multiply
    2,003.75x = 3,005.64 × 1,573.64
  4. Step 4: Simplify right side
    2,003.75x = 4,729,780.30
  5. Step 5: Solve for x
    x = 4,729,780.30/2,003.75
  6. Step 6: Final answer
    x = 2,360.47

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1.5x scale

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.