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Finding the Fourth Proportional to 2,058.08, 3,089.34 and 826.34

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Solution

The fourth proportional to 2,058.08, 3,089.34 and 826.34 is: 1,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.08 : 3,089.34 = 826.34 : x
  2. Step 2: Convert to fraction form
    2,058.08/3,089.34 = 826.34/x
  3. Step 3: Cross multiply
    2,058.08x = 3,089.34 × 826.34
  4. Step 4: Simplify right side
    2,058.08x = 2,552,829.77
  5. Step 5: Solve for x
    x = 2,552,829.77/2,058.08
  6. Step 6: Final answer
    x = 1,240.40

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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.