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Finding the Fourth Proportional to 2,253.64, 3,109.50 and 1,309.58

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Solution

The fourth proportional to 2,253.64, 3,109.50 and 1,309.58 is: 1,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.64 : 3,109.50 = 1,309.58 : x
  2. Step 2: Convert to fraction form
    2,253.64/3,109.50 = 1,309.58/x
  3. Step 3: Cross multiply
    2,253.64x = 3,109.50 × 1,309.58
  4. Step 4: Simplify right side
    2,253.64x = 4,072,139.01
  5. Step 5: Solve for x
    x = 4,072,139.01/2,253.64
  6. Step 6: Final answer
    x = 1,806.92

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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.