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Finding the Fourth Proportional to 2,753.68, 3,800.14 and 1,574.75

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Solution

The fourth proportional to 2,753.68, 3,800.14 and 1,574.75 is: 2,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.68 : 3,800.14 = 1,574.75 : x
  2. Step 2: Convert to fraction form
    2,753.68/3,800.14 = 1,574.75/x
  3. Step 3: Cross multiply
    2,753.68x = 3,800.14 × 1,574.75
  4. Step 4: Simplify right side
    2,753.68x = 5,984,285.80
  5. Step 5: Solve for x
    x = 5,984,285.80/2,753.68
  6. Step 6: Final answer
    x = 2,173.19

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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.