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Finding the Fourth Proportional to 2,058.32, 3,086.73 and 597.02

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Solution

The fourth proportional to 2,058.32, 3,086.73 and 597.02 is: 895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.32 : 3,086.73 = 597.02 : x
  2. Step 2: Convert to fraction form
    2,058.32/3,086.73 = 597.02/x
  3. Step 3: Cross multiply
    2,058.32x = 3,086.73 × 597.02
  4. Step 4: Simplify right side
    2,058.32x = 1,842,839.54
  5. Step 5: Solve for x
    x = 1,842,839.54/2,058.32
  6. Step 6: Final answer
    x = 895.31

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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.