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Finding the Fourth Proportional to 2,309.70, 3,187.35 and 1,261.74

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Solution

The fourth proportional to 2,309.70, 3,187.35 and 1,261.74 is: 1,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,187.35 = 1,261.74 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,187.35 = 1,261.74/x
  3. Step 3: Cross multiply
    2,309.70x = 3,187.35 × 1,261.74
  4. Step 4: Simplify right side
    2,309.70x = 4,021,606.99
  5. Step 5: Solve for x
    x = 4,021,606.99/2,309.70
  6. Step 6: Final answer
    x = 1,741.18

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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.