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Finding the Fourth Proportional to 2,058.84, 3,088.25 and 825.37

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Solution

The fourth proportional to 2,058.84, 3,088.25 and 825.37 is: 1,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.84 : 3,088.25 = 825.37 : x
  2. Step 2: Convert to fraction form
    2,058.84/3,088.25 = 825.37/x
  3. Step 3: Cross multiply
    2,058.84x = 3,088.25 × 825.37
  4. Step 4: Simplify right side
    2,058.84x = 2,548,948.90
  5. Step 5: Solve for x
    x = 2,548,948.90/2,058.84
  6. Step 6: Final answer
    x = 1,238.05

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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.