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Finding the Fourth Proportional to 2,256.57, 3,115.09 and 1,659.06

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Solution

The fourth proportional to 2,256.57, 3,115.09 and 1,659.06 is: 2,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.57 : 3,115.09 = 1,659.06 : x
  2. Step 2: Convert to fraction form
    2,256.57/3,115.09 = 1,659.06/x
  3. Step 3: Cross multiply
    2,256.57x = 3,115.09 × 1,659.06
  4. Step 4: Simplify right side
    2,256.57x = 5,168,123.29
  5. Step 5: Solve for x
    x = 5,168,123.29/2,256.57
  6. Step 6: Final answer
    x = 2,290.26

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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.