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Finding the Fourth Proportional to 2,641.32, 3,645.07 and 1,522.07

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Solution

The fourth proportional to 2,641.32, 3,645.07 and 1,522.07 is: 2,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.32 : 3,645.07 = 1,522.07 : x
  2. Step 2: Convert to fraction form
    2,641.32/3,645.07 = 1,522.07/x
  3. Step 3: Cross multiply
    2,641.32x = 3,645.07 × 1,522.07
  4. Step 4: Simplify right side
    2,641.32x = 5,548,025.86
  5. Step 5: Solve for x
    x = 5,548,025.86/2,641.32
  6. Step 6: Final answer
    x = 2,100.48

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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.