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Finding the Fourth Proportional to 2,705.47, 4,058.24 and 2,158.72

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Solution

The fourth proportional to 2,705.47, 4,058.24 and 2,158.72 is: 3,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.47 : 4,058.24 = 2,158.72 : x
  2. Step 2: Convert to fraction form
    2,705.47/4,058.24 = 2,158.72/x
  3. Step 3: Cross multiply
    2,705.47x = 4,058.24 × 2,158.72
  4. Step 4: Simplify right side
    2,705.47x = 8,760,582.91
  5. Step 5: Solve for x
    x = 8,760,582.91/2,705.47
  6. Step 6: Final answer
    x = 3,238.10

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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.