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Finding the Fourth Proportional to 1,760.13, 2,429.01 and 1,014.33

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Solution

The fourth proportional to 1,760.13, 2,429.01 and 1,014.33 is: 1,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.13 : 2,429.01 = 1,014.33 : x
  2. Step 2: Convert to fraction form
    1,760.13/2,429.01 = 1,014.33/x
  3. Step 3: Cross multiply
    1,760.13x = 2,429.01 × 1,014.33
  4. Step 4: Simplify right side
    1,760.13x = 2,463,817.71
  5. Step 5: Solve for x
    x = 2,463,817.71/1,760.13
  6. Step 6: Final answer
    x = 1,399.79

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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.