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Finding the Fourth Proportional to 1,736.90, 2,397.02 and 1,029.29

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Solution

The fourth proportional to 1,736.90, 2,397.02 and 1,029.29 is: 1,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.90 : 2,397.02 = 1,029.29 : x
  2. Step 2: Convert to fraction form
    1,736.90/2,397.02 = 1,029.29/x
  3. Step 3: Cross multiply
    1,736.90x = 2,397.02 × 1,029.29
  4. Step 4: Simplify right side
    1,736.90x = 2,467,229.56
  5. Step 5: Solve for x
    x = 2,467,229.56/1,736.90
  6. Step 6: Final answer
    x = 1,420.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.