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Finding the Fourth Proportional to 3,249.19, 4,483.74 and 2,070.64

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Solution

The fourth proportional to 3,249.19, 4,483.74 and 2,070.64 is: 2,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.19 : 4,483.74 = 2,070.64 : x
  2. Step 2: Convert to fraction form
    3,249.19/4,483.74 = 2,070.64/x
  3. Step 3: Cross multiply
    3,249.19x = 4,483.74 × 2,070.64
  4. Step 4: Simplify right side
    3,249.19x = 9,284,211.39
  5. Step 5: Solve for x
    x = 9,284,211.39/3,249.19
  6. Step 6: Final answer
    x = 2,857.39

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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.