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Finding the Fourth Proportional to 2,174.81, 3,263.06 and 1,019.75

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Solution

The fourth proportional to 2,174.81, 3,263.06 and 1,019.75 is: 1,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.81 : 3,263.06 = 1,019.75 : x
  2. Step 2: Convert to fraction form
    2,174.81/3,263.06 = 1,019.75/x
  3. Step 3: Cross multiply
    2,174.81x = 3,263.06 × 1,019.75
  4. Step 4: Simplify right side
    2,174.81x = 3,327,500.34
  5. Step 5: Solve for x
    x = 3,327,500.34/2,174.81
  6. Step 6: Final answer
    x = 1,530.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.