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Finding the Fourth Proportional to 1,751.43, 2,417.96 and 1,162.77

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Solution

The fourth proportional to 1,751.43, 2,417.96 and 1,162.77 is: 1,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.43 : 2,417.96 = 1,162.77 : x
  2. Step 2: Convert to fraction form
    1,751.43/2,417.96 = 1,162.77/x
  3. Step 3: Cross multiply
    1,751.43x = 2,417.96 × 1,162.77
  4. Step 4: Simplify right side
    1,751.43x = 2,811,531.35
  5. Step 5: Solve for x
    x = 2,811,531.35/1,751.43
  6. Step 6: Final answer
    x = 1,605.28

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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.