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Finding the Fourth Proportional to 2,058.58, 2,841 and 1,174.66

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Solution

The fourth proportional to 2,058.58, 2,841 and 1,174.66 is: 1,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.58 : 2,841 = 1,174.66 : x
  2. Step 2: Convert to fraction form
    2,058.58/2,841 = 1,174.66/x
  3. Step 3: Cross multiply
    2,058.58x = 2,841 × 1,174.66
  4. Step 4: Simplify right side
    2,058.58x = 3,337,209.06
  5. Step 5: Solve for x
    x = 3,337,209.06/2,058.58
  6. Step 6: Final answer
    x = 1,621.12

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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.