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Finding the Fourth Proportional to 1,595.25, 2,201.31 and 896.58

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Solution

The fourth proportional to 1,595.25, 2,201.31 and 896.58 is: 1,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.25 : 2,201.31 = 896.58 : x
  2. Step 2: Convert to fraction form
    1,595.25/2,201.31 = 896.58/x
  3. Step 3: Cross multiply
    1,595.25x = 2,201.31 × 896.58
  4. Step 4: Simplify right side
    1,595.25x = 1,973,650.52
  5. Step 5: Solve for x
    x = 1,973,650.52/1,595.25
  6. Step 6: Final answer
    x = 1,237.20

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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.