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Finding the Fourth Proportional to 2,058.20, 3,087.84 and 597.32

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Solution

The fourth proportional to 2,058.20, 3,087.84 and 597.32 is: 896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.20 : 3,087.84 = 597.32 : x
  2. Step 2: Convert to fraction form
    2,058.20/3,087.84 = 597.32/x
  3. Step 3: Cross multiply
    2,058.20x = 3,087.84 × 597.32
  4. Step 4: Simplify right side
    2,058.20x = 1,844,428.59
  5. Step 5: Solve for x
    x = 1,844,428.59/2,058.20
  6. Step 6: Final answer
    x = 896.14

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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.