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Finding the Fourth Proportional to 2,162.57, 2,985.26 and 1,491.28

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Solution

The fourth proportional to 2,162.57, 2,985.26 and 1,491.28 is: 2,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.57 : 2,985.26 = 1,491.28 : x
  2. Step 2: Convert to fraction form
    2,162.57/2,985.26 = 1,491.28/x
  3. Step 3: Cross multiply
    2,162.57x = 2,985.26 × 1,491.28
  4. Step 4: Simplify right side
    2,162.57x = 4,451,843.61
  5. Step 5: Solve for x
    x = 4,451,843.61/2,162.57
  6. Step 6: Final answer
    x = 2,058.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.