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Finding the Fourth Proportional to 1,595.40, 2,201.62 and 887.24

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Solution

The fourth proportional to 1,595.40, 2,201.62 and 887.24 is: 1,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.40 : 2,201.62 = 887.24 : x
  2. Step 2: Convert to fraction form
    1,595.40/2,201.62 = 887.24/x
  3. Step 3: Cross multiply
    1,595.40x = 2,201.62 × 887.24
  4. Step 4: Simplify right side
    1,595.40x = 1,953,365.33
  5. Step 5: Solve for x
    x = 1,953,365.33/1,595.40
  6. Step 6: Final answer
    x = 1,224.37

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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.