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Finding the Fourth Proportional to 3,079.46, 4,249.63 and 1,820.59

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Solution

The fourth proportional to 3,079.46, 4,249.63 and 1,820.59 is: 2,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.46 : 4,249.63 = 1,820.59 : x
  2. Step 2: Convert to fraction form
    3,079.46/4,249.63 = 1,820.59/x
  3. Step 3: Cross multiply
    3,079.46x = 4,249.63 × 1,820.59
  4. Step 4: Simplify right side
    3,079.46x = 7,736,818.71
  5. Step 5: Solve for x
    x = 7,736,818.71/3,079.46
  6. Step 6: Final answer
    x = 2,512.39

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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.