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Finding the Fourth Proportional to 1,761.81, 2,431.26 and 1,054.16

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Solution

The fourth proportional to 1,761.81, 2,431.26 and 1,054.16 is: 1,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.81 : 2,431.26 = 1,054.16 : x
  2. Step 2: Convert to fraction form
    1,761.81/2,431.26 = 1,054.16/x
  3. Step 3: Cross multiply
    1,761.81x = 2,431.26 × 1,054.16
  4. Step 4: Simplify right side
    1,761.81x = 2,562,937.04
  5. Step 5: Solve for x
    x = 2,562,937.04/1,761.81
  6. Step 6: Final answer
    x = 1,454.72

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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.