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Finding the Fourth Proportional to 2,058.46, 3,087.72 and 1,646.58

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Solution

The fourth proportional to 2,058.46, 3,087.72 and 1,646.58 is: 2,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.46 : 3,087.72 = 1,646.58 : x
  2. Step 2: Convert to fraction form
    2,058.46/3,087.72 = 1,646.58/x
  3. Step 3: Cross multiply
    2,058.46x = 3,087.72 × 1,646.58
  4. Step 4: Simplify right side
    2,058.46x = 5,084,172.21
  5. Step 5: Solve for x
    x = 5,084,172.21/2,058.46
  6. Step 6: Final answer
    x = 2,469.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.