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Finding the Fourth Proportional to 3,489.96, 4,814.40 and 2,073

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Solution

The fourth proportional to 3,489.96, 4,814.40 and 2,073 is: 2,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.96 : 4,814.40 = 2,073 : x
  2. Step 2: Convert to fraction form
    3,489.96/4,814.40 = 2,073/x
  3. Step 3: Cross multiply
    3,489.96x = 4,814.40 × 2,073
  4. Step 4: Simplify right side
    3,489.96x = 9,980,251.20
  5. Step 5: Solve for x
    x = 9,980,251.20/3,489.96
  6. Step 6: Final answer
    x = 2,859.70

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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.