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Finding the Fourth Proportional to 2,056.83, 3,085.44 and 758.13

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Solution

The fourth proportional to 2,056.83, 3,085.44 and 758.13 is: 1,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.83 : 3,085.44 = 758.13 : x
  2. Step 2: Convert to fraction form
    2,056.83/3,085.44 = 758.13/x
  3. Step 3: Cross multiply
    2,056.83x = 3,085.44 × 758.13
  4. Step 4: Simplify right side
    2,056.83x = 2,339,164.63
  5. Step 5: Solve for x
    x = 2,339,164.63/2,056.83
  6. Step 6: Final answer
    x = 1,137.27

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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.