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Finding the Fourth Proportional to 2,058.58, 2,841.06 and 1,174.46

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Solution

The fourth proportional to 2,058.58, 2,841.06 and 1,174.46 is: 1,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.58 : 2,841.06 = 1,174.46 : x
  2. Step 2: Convert to fraction form
    2,058.58/2,841.06 = 1,174.46/x
  3. Step 3: Cross multiply
    2,058.58x = 2,841.06 × 1,174.46
  4. Step 4: Simplify right side
    2,058.58x = 3,336,711.33
  5. Step 5: Solve for x
    x = 3,336,711.33/2,058.58
  6. Step 6: Final answer
    x = 1,620.88

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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.