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Finding the Fourth Proportional to 1,760.41, 2,429.62 and 1,014.23

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Solution

The fourth proportional to 1,760.41, 2,429.62 and 1,014.23 is: 1,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.41 : 2,429.62 = 1,014.23 : x
  2. Step 2: Convert to fraction form
    1,760.41/2,429.62 = 1,014.23/x
  3. Step 3: Cross multiply
    1,760.41x = 2,429.62 × 1,014.23
  4. Step 4: Simplify right side
    1,760.41x = 2,464,181.34
  5. Step 5: Solve for x
    x = 2,464,181.34/1,760.41
  6. Step 6: Final answer
    x = 1,399.78

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Why These Related Problems?

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