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Finding the Fourth Proportional to 2,058.30, 3,087.36 and 597.42

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Solution

The fourth proportional to 2,058.30, 3,087.36 and 597.42 is: 896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.30 : 3,087.36 = 597.42 : x
  2. Step 2: Convert to fraction form
    2,058.30/3,087.36 = 597.42/x
  3. Step 3: Cross multiply
    2,058.30x = 3,087.36 × 597.42
  4. Step 4: Simplify right side
    2,058.30x = 1,844,450.61
  5. Step 5: Solve for x
    x = 1,844,450.61/2,058.30
  6. Step 6: Final answer
    x = 896.10

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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.