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Finding the Fourth Proportional to 2,309.50, 3,187.18 and 1,261.63

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Solution

The fourth proportional to 2,309.50, 3,187.18 and 1,261.63 is: 1,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.50 : 3,187.18 = 1,261.63 : x
  2. Step 2: Convert to fraction form
    2,309.50/3,187.18 = 1,261.63/x
  3. Step 3: Cross multiply
    2,309.50x = 3,187.18 × 1,261.63
  4. Step 4: Simplify right side
    2,309.50x = 4,021,041.90
  5. Step 5: Solve for x
    x = 4,021,041.90/2,309.50
  6. Step 6: Final answer
    x = 1,741.09

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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.