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Finding the Fourth Proportional to 2,858.25, 3,943.23 and 1,738.29

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Solution

The fourth proportional to 2,858.25, 3,943.23 and 1,738.29 is: 2,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.25 : 3,943.23 = 1,738.29 : x
  2. Step 2: Convert to fraction form
    2,858.25/3,943.23 = 1,738.29/x
  3. Step 3: Cross multiply
    2,858.25x = 3,943.23 × 1,738.29
  4. Step 4: Simplify right side
    2,858.25x = 6,854,495.32
  5. Step 5: Solve for x
    x = 6,854,495.32/2,858.25
  6. Step 6: Final answer
    x = 2,398.14

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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.