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Finding the Fourth Proportional to 1,751.49, 2,418.05 and 1,162.83

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Solution

The fourth proportional to 1,751.49, 2,418.05 and 1,162.83 is: 1,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.49 : 2,418.05 = 1,162.83 : x
  2. Step 2: Convert to fraction form
    1,751.49/2,418.05 = 1,162.83/x
  3. Step 3: Cross multiply
    1,751.49x = 2,418.05 × 1,162.83
  4. Step 4: Simplify right side
    1,751.49x = 2,811,775.27
  5. Step 5: Solve for x
    x = 2,811,775.27/1,751.49
  6. Step 6: Final answer
    x = 1,605.36

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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.