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Finding the Fourth Proportional to 2,600.16, 3,588.25 and 1,421.25

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Solution

The fourth proportional to 2,600.16, 3,588.25 and 1,421.25 is: 1,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.16 : 3,588.25 = 1,421.25 : x
  2. Step 2: Convert to fraction form
    2,600.16/3,588.25 = 1,421.25/x
  3. Step 3: Cross multiply
    2,600.16x = 3,588.25 × 1,421.25
  4. Step 4: Simplify right side
    2,600.16x = 5,099,796.76
  5. Step 5: Solve for x
    x = 5,099,796.76/2,600.16
  6. Step 6: Final answer
    x = 1,961.34

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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.