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Finding the Fourth Proportional to 2,415.46, 3,625.42 and 1,492.82

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Solution

The fourth proportional to 2,415.46, 3,625.42 and 1,492.82 is: 2,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.46 : 3,625.42 = 1,492.82 : x
  2. Step 2: Convert to fraction form
    2,415.46/3,625.42 = 1,492.82/x
  3. Step 3: Cross multiply
    2,415.46x = 3,625.42 × 1,492.82
  4. Step 4: Simplify right side
    2,415.46x = 5,412,099.48
  5. Step 5: Solve for x
    x = 5,412,099.48/2,415.46
  6. Step 6: Final answer
    x = 2,240.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.