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Finding the Fourth Proportional to 2,600.40, 3,588.57 and 1,421.40

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Solution

The fourth proportional to 2,600.40, 3,588.57 and 1,421.40 is: 1,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.40 : 3,588.57 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    2,600.40/3,588.57 = 1,421.40/x
  3. Step 3: Cross multiply
    2,600.40x = 3,588.57 × 1,421.40
  4. Step 4: Simplify right side
    2,600.40x = 5,100,793.40
  5. Step 5: Solve for x
    x = 5,100,793.40/2,600.40
  6. Step 6: Final answer
    x = 1,961.54

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1.5x scale

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.