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Finding the Fourth Proportional to 2,109.72, 3,165.78 and 1,014.30

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Solution

The fourth proportional to 2,109.72, 3,165.78 and 1,014.30 is: 1,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.72 : 3,165.78 = 1,014.30 : x
  2. Step 2: Convert to fraction form
    2,109.72/3,165.78 = 1,014.30/x
  3. Step 3: Cross multiply
    2,109.72x = 3,165.78 × 1,014.30
  4. Step 4: Simplify right side
    2,109.72x = 3,211,050.65
  5. Step 5: Solve for x
    x = 3,211,050.65/2,109.72
  6. Step 6: Final answer
    x = 1,522.03

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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.