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Finding the Fourth Proportional to 2,600.34, 3,588.47 and 1,421.42

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Solution

The fourth proportional to 2,600.34, 3,588.47 and 1,421.42 is: 1,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.34 : 3,588.47 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    2,600.34/3,588.47 = 1,421.42/x
  3. Step 3: Cross multiply
    2,600.34x = 3,588.47 × 1,421.42
  4. Step 4: Simplify right side
    2,600.34x = 5,100,703.31
  5. Step 5: Solve for x
    x = 5,100,703.31/2,600.34
  6. Step 6: Final answer
    x = 1,961.56

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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.