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Finding the Fourth Proportional to 3,057, 4,216.74 and 2,437.48

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Solution

The fourth proportional to 3,057, 4,216.74 and 2,437.48 is: 3,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057 : 4,216.74 = 2,437.48 : x
  2. Step 2: Convert to fraction form
    3,057/4,216.74 = 2,437.48/x
  3. Step 3: Cross multiply
    3,057x = 4,216.74 × 2,437.48
  4. Step 4: Simplify right side
    3,057x = 10,278,219.42
  5. Step 5: Solve for x
    x = 10,278,219.42/3,057
  6. Step 6: Final answer
    x = 3,362.19

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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.