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Finding the Fourth Proportional to 2,615.22, 3,919.05 and 1,458.54

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Solution

The fourth proportional to 2,615.22, 3,919.05 and 1,458.54 is: 2,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.22 : 3,919.05 = 1,458.54 : x
  2. Step 2: Convert to fraction form
    2,615.22/3,919.05 = 1,458.54/x
  3. Step 3: Cross multiply
    2,615.22x = 3,919.05 × 1,458.54
  4. Step 4: Simplify right side
    2,615.22x = 5,716,091.19
  5. Step 5: Solve for x
    x = 5,716,091.19/2,615.22
  6. Step 6: Final answer
    x = 2,185.70

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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.