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Finding the Fourth Proportional to 3,249, 4,484.12 and 2,070.44

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Solution

The fourth proportional to 3,249, 4,484.12 and 2,070.44 is: 2,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 4,484.12 = 2,070.44 : x
  2. Step 2: Convert to fraction form
    3,249/4,484.12 = 2,070.44/x
  3. Step 3: Cross multiply
    3,249x = 4,484.12 × 2,070.44
  4. Step 4: Simplify right side
    3,249x = 9,284,101.41
  5. Step 5: Solve for x
    x = 9,284,101.41/3,249
  6. Step 6: Final answer
    x = 2,857.53

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1.5x scale

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.