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Finding the Fourth Proportional to 2,705.58, 4,058.06 and 2,013.28

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Solution

The fourth proportional to 2,705.58, 4,058.06 and 2,013.28 is: 3,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.58 : 4,058.06 = 2,013.28 : x
  2. Step 2: Convert to fraction form
    2,705.58/4,058.06 = 2,013.28/x
  3. Step 3: Cross multiply
    2,705.58x = 4,058.06 × 2,013.28
  4. Step 4: Simplify right side
    2,705.58x = 8,169,990.83
  5. Step 5: Solve for x
    x = 8,169,990.83/2,705.58
  6. Step 6: Final answer
    x = 3,019.68

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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.