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Finding the Fourth Proportional to 3,058.29, 4,219.74 and 1,731.71

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Solution

The fourth proportional to 3,058.29, 4,219.74 and 1,731.71 is: 2,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.29 : 4,219.74 = 1,731.71 : x
  2. Step 2: Convert to fraction form
    3,058.29/4,219.74 = 1,731.71/x
  3. Step 3: Cross multiply
    3,058.29x = 4,219.74 × 1,731.71
  4. Step 4: Simplify right side
    3,058.29x = 7,307,344.86
  5. Step 5: Solve for x
    x = 7,307,344.86/3,058.29
  6. Step 6: Final answer
    x = 2,389.36

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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.