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Finding the Fourth Proportional to 2,058.94, 2,841.31 and 1,114.71

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Solution

The fourth proportional to 2,058.94, 2,841.31 and 1,114.71 is: 1,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.94 : 2,841.31 = 1,114.71 : x
  2. Step 2: Convert to fraction form
    2,058.94/2,841.31 = 1,114.71/x
  3. Step 3: Cross multiply
    2,058.94x = 2,841.31 × 1,114.71
  4. Step 4: Simplify right side
    2,058.94x = 3,167,236.67
  5. Step 5: Solve for x
    x = 3,167,236.67/2,058.94
  6. Step 6: Final answer
    x = 1,538.29

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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.