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Finding the Fourth Proportional to 1,760.22, 2,429.36 and 1,014.16

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Solution

The fourth proportional to 1,760.22, 2,429.36 and 1,014.16 is: 1,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.22 : 2,429.36 = 1,014.16 : x
  2. Step 2: Convert to fraction form
    1,760.22/2,429.36 = 1,014.16/x
  3. Step 3: Cross multiply
    1,760.22x = 2,429.36 × 1,014.16
  4. Step 4: Simplify right side
    1,760.22x = 2,463,759.74
  5. Step 5: Solve for x
    x = 2,463,759.74/1,760.22
  6. Step 6: Final answer
    x = 1,399.69

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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.