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Finding the Fourth Proportional to 2,797.99, 4,213.65 and 2,437.14

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Solution

The fourth proportional to 2,797.99, 4,213.65 and 2,437.14 is: 3,670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.99 : 4,213.65 = 2,437.14 : x
  2. Step 2: Convert to fraction form
    2,797.99/4,213.65 = 2,437.14/x
  3. Step 3: Cross multiply
    2,797.99x = 4,213.65 × 2,437.14
  4. Step 4: Simplify right side
    2,797.99x = 10,269,232.24
  5. Step 5: Solve for x
    x = 10,269,232.24/2,797.99
  6. Step 6: Final answer
    x = 3,670.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.