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Finding the Fourth Proportional to 2,058.64, 2,840.90 and 1,127.14

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Solution

The fourth proportional to 2,058.64, 2,840.90 and 1,127.14 is: 1,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.64 : 2,840.90 = 1,127.14 : x
  2. Step 2: Convert to fraction form
    2,058.64/2,840.90 = 1,127.14/x
  3. Step 3: Cross multiply
    2,058.64x = 2,840.90 × 1,127.14
  4. Step 4: Simplify right side
    2,058.64x = 3,202,092.03
  5. Step 5: Solve for x
    x = 3,202,092.03/2,058.64
  6. Step 6: Final answer
    x = 1,555.44

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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.