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Finding the Fourth Proportional to 3,057.94, 4,586.92 and 749.44

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Solution

The fourth proportional to 3,057.94, 4,586.92 and 749.44 is: 1,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.94 : 4,586.92 = 749.44 : x
  2. Step 2: Convert to fraction form
    3,057.94/4,586.92 = 749.44/x
  3. Step 3: Cross multiply
    3,057.94x = 4,586.92 × 749.44
  4. Step 4: Simplify right side
    3,057.94x = 3,437,621.32
  5. Step 5: Solve for x
    x = 3,437,621.32/3,057.94
  6. Step 6: Final answer
    x = 1,124.16

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Similar ratio
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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.