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Finding the Fourth Proportional to 2,309.09, 3,178.68 and 1,748.67

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Solution

The fourth proportional to 2,309.09, 3,178.68 and 1,748.67 is: 2,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.09 : 3,178.68 = 1,748.67 : x
  2. Step 2: Convert to fraction form
    2,309.09/3,178.68 = 1,748.67/x
  3. Step 3: Cross multiply
    2,309.09x = 3,178.68 × 1,748.67
  4. Step 4: Simplify right side
    2,309.09x = 5,558,462.36
  5. Step 5: Solve for x
    x = 5,558,462.36/2,309.09
  6. Step 6: Final answer
    x = 2,407.21

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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.