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Finding the Fourth Proportional to 1,760.30, 2,429.03 and 1,014.11

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Solution

The fourth proportional to 1,760.30, 2,429.03 and 1,014.11 is: 1,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.30 : 2,429.03 = 1,014.11 : x
  2. Step 2: Convert to fraction form
    1,760.30/2,429.03 = 1,014.11/x
  3. Step 3: Cross multiply
    1,760.30x = 2,429.03 × 1,014.11
  4. Step 4: Simplify right side
    1,760.30x = 2,463,303.61
  5. Step 5: Solve for x
    x = 2,463,303.61/1,760.30
  6. Step 6: Final answer
    x = 1,399.37

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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.