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Finding the Fourth Proportional to 2,058.62, 2,841.48 and 2,017.31

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Solution

The fourth proportional to 2,058.62, 2,841.48 and 2,017.31 is: 2,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.62 : 2,841.48 = 2,017.31 : x
  2. Step 2: Convert to fraction form
    2,058.62/2,841.48 = 2,017.31/x
  3. Step 3: Cross multiply
    2,058.62x = 2,841.48 × 2,017.31
  4. Step 4: Simplify right side
    2,058.62x = 5,732,131.81
  5. Step 5: Solve for x
    x = 5,732,131.81/2,058.62
  6. Step 6: Final answer
    x = 2,784.46

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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.