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Finding the Fourth Proportional to 2,150.25, 2,967.89 and 1,311.51

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Solution

The fourth proportional to 2,150.25, 2,967.89 and 1,311.51 is: 1,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.25 : 2,967.89 = 1,311.51 : x
  2. Step 2: Convert to fraction form
    2,150.25/2,967.89 = 1,311.51/x
  3. Step 3: Cross multiply
    2,150.25x = 2,967.89 × 1,311.51
  4. Step 4: Simplify right side
    2,150.25x = 3,892,412.67
  5. Step 5: Solve for x
    x = 3,892,412.67/2,150.25
  6. Step 6: Final answer
    x = 1,810.22

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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.