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Finding the Fourth Proportional to 2,474.82, 3,415.22 and 1,355.75

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Solution

The fourth proportional to 2,474.82, 3,415.22 and 1,355.75 is: 1,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.82 : 3,415.22 = 1,355.75 : x
  2. Step 2: Convert to fraction form
    2,474.82/3,415.22 = 1,355.75/x
  3. Step 3: Cross multiply
    2,474.82x = 3,415.22 × 1,355.75
  4. Step 4: Simplify right side
    2,474.82x = 4,630,184.52
  5. Step 5: Solve for x
    x = 4,630,184.52/2,474.82
  6. Step 6: Final answer
    x = 1,870.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.