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Finding the Fourth Proportional to 2,359.31, 3,256.73 and 2,026.40

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Solution

The fourth proportional to 2,359.31, 3,256.73 and 2,026.40 is: 2,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.31 : 3,256.73 = 2,026.40 : x
  2. Step 2: Convert to fraction form
    2,359.31/3,256.73 = 2,026.40/x
  3. Step 3: Cross multiply
    2,359.31x = 3,256.73 × 2,026.40
  4. Step 4: Simplify right side
    2,359.31x = 6,599,427.54
  5. Step 5: Solve for x
    x = 6,599,427.54/2,359.31
  6. Step 6: Final answer
    x = 2,797.19

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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.