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Finding the Fourth Proportional to 1,462.07, 2,014.20 and 1,019.18

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Solution

The fourth proportional to 1,462.07, 2,014.20 and 1,019.18 is: 1,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.07 : 2,014.20 = 1,019.18 : x
  2. Step 2: Convert to fraction form
    1,462.07/2,014.20 = 1,019.18/x
  3. Step 3: Cross multiply
    1,462.07x = 2,014.20 × 1,019.18
  4. Step 4: Simplify right side
    1,462.07x = 2,052,832.36
  5. Step 5: Solve for x
    x = 2,052,832.36/1,462.07
  6. Step 6: Final answer
    x = 1,404.06

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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.