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Finding the Fourth Proportional to 2,474.87, 3,415.33 and 1,340.55

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Solution

The fourth proportional to 2,474.87, 3,415.33 and 1,340.55 is: 1,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.87 : 3,415.33 = 1,340.55 : x
  2. Step 2: Convert to fraction form
    2,474.87/3,415.33 = 1,340.55/x
  3. Step 3: Cross multiply
    2,474.87x = 3,415.33 × 1,340.55
  4. Step 4: Simplify right side
    2,474.87x = 4,578,420.63
  5. Step 5: Solve for x
    x = 4,578,420.63/2,474.87
  6. Step 6: Final answer
    x = 1,849.96

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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.