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Finding the Fourth Proportional to 2,641.55, 3,958.68 and 1,544.41

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Solution

The fourth proportional to 2,641.55, 3,958.68 and 1,544.41 is: 2,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.55 : 3,958.68 = 1,544.41 : x
  2. Step 2: Convert to fraction form
    2,641.55/3,958.68 = 1,544.41/x
  3. Step 3: Cross multiply
    2,641.55x = 3,958.68 × 1,544.41
  4. Step 4: Simplify right side
    2,641.55x = 6,113,805.19
  5. Step 5: Solve for x
    x = 6,113,805.19/2,641.55
  6. Step 6: Final answer
    x = 2,314.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.