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Finding the Fourth Proportional to 2,058.17, 3,087.56 and 597.14

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Solution

The fourth proportional to 2,058.17, 3,087.56 and 597.14 is: 895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.17 : 3,087.56 = 597.14 : x
  2. Step 2: Convert to fraction form
    2,058.17/3,087.56 = 597.14/x
  3. Step 3: Cross multiply
    2,058.17x = 3,087.56 × 597.14
  4. Step 4: Simplify right side
    2,058.17x = 1,843,705.58
  5. Step 5: Solve for x
    x = 1,843,705.58/2,058.17
  6. Step 6: Final answer
    x = 895.80

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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.