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Finding the Fourth Proportional to 2,073.70, 2,853.12 and 1,573.43

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Solution

The fourth proportional to 2,073.70, 2,853.12 and 1,573.43 is: 2,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.70 : 2,853.12 = 1,573.43 : x
  2. Step 2: Convert to fraction form
    2,073.70/2,853.12 = 1,573.43/x
  3. Step 3: Cross multiply
    2,073.70x = 2,853.12 × 1,573.43
  4. Step 4: Simplify right side
    2,073.70x = 4,489,176.24
  5. Step 5: Solve for x
    x = 4,489,176.24/2,073.70
  6. Step 6: Final answer
    x = 2,164.81

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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.