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Finding the Fourth Proportional to 2,058.11, 3,087.63 and 597.20

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Solution

The fourth proportional to 2,058.11, 3,087.63 and 597.20 is: 895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.11 : 3,087.63 = 597.20 : x
  2. Step 2: Convert to fraction form
    2,058.11/3,087.63 = 597.20/x
  3. Step 3: Cross multiply
    2,058.11x = 3,087.63 × 597.20
  4. Step 4: Simplify right side
    2,058.11x = 1,843,940.36
  5. Step 5: Solve for x
    x = 1,843,940.36/2,058.11
  6. Step 6: Final answer
    x = 895.94

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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.