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Finding the Fourth Proportional to 2,053.84, 3,083.48 and 958.96

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Solution

The fourth proportional to 2,053.84, 3,083.48 and 958.96 is: 1,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.84 : 3,083.48 = 958.96 : x
  2. Step 2: Convert to fraction form
    2,053.84/3,083.48 = 958.96/x
  3. Step 3: Cross multiply
    2,053.84x = 3,083.48 × 958.96
  4. Step 4: Simplify right side
    2,053.84x = 2,956,933.98
  5. Step 5: Solve for x
    x = 2,956,933.98/2,053.84
  6. Step 6: Final answer
    x = 1,439.71

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1.5x scale

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.