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Finding the Fourth Proportional to 1,730.97, 2,584.13 and 1,670.22

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Solution

The fourth proportional to 1,730.97, 2,584.13 and 1,670.22 is: 2,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.97 : 2,584.13 = 1,670.22 : x
  2. Step 2: Convert to fraction form
    1,730.97/2,584.13 = 1,670.22/x
  3. Step 3: Cross multiply
    1,730.97x = 2,584.13 × 1,670.22
  4. Step 4: Simplify right side
    1,730.97x = 4,316,057.26
  5. Step 5: Solve for x
    x = 4,316,057.26/1,730.97
  6. Step 6: Final answer
    x = 2,493.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.