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Finding the Fourth Proportional to 1,595.02, 2,200.62 and 896.26

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Solution

The fourth proportional to 1,595.02, 2,200.62 and 896.26 is: 1,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.02 : 2,200.62 = 896.26 : x
  2. Step 2: Convert to fraction form
    1,595.02/2,200.62 = 896.26/x
  3. Step 3: Cross multiply
    1,595.02x = 2,200.62 × 896.26
  4. Step 4: Simplify right side
    1,595.02x = 1,972,327.68
  5. Step 5: Solve for x
    x = 1,972,327.68/1,595.02
  6. Step 6: Final answer
    x = 1,236.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.