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Finding the Fourth Proportional to 2,253.96, 3,109.48 and 1,309.68

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Solution

The fourth proportional to 2,253.96, 3,109.48 and 1,309.68 is: 1,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.96 : 3,109.48 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    2,253.96/3,109.48 = 1,309.68/x
  3. Step 3: Cross multiply
    2,253.96x = 3,109.48 × 1,309.68
  4. Step 4: Simplify right side
    2,253.96x = 4,072,423.77
  5. Step 5: Solve for x
    x = 4,072,423.77/2,253.96
  6. Step 6: Final answer
    x = 1,806.79

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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.