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Finding the Fourth Proportional to 2,056.84, 3,085.80 and 1,082.68

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Solution

The fourth proportional to 2,056.84, 3,085.80 and 1,082.68 is: 1,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.84 : 3,085.80 = 1,082.68 : x
  2. Step 2: Convert to fraction form
    2,056.84/3,085.80 = 1,082.68/x
  3. Step 3: Cross multiply
    2,056.84x = 3,085.80 × 1,082.68
  4. Step 4: Simplify right side
    2,056.84x = 3,340,933.94
  5. Step 5: Solve for x
    x = 3,340,933.94/2,056.84
  6. Step 6: Final answer
    x = 1,624.30

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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.