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Finding the Fourth Proportional to 2,492.17, 3,737.32 and 825.98

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Solution

The fourth proportional to 2,492.17, 3,737.32 and 825.98 is: 1,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.17 : 3,737.32 = 825.98 : x
  2. Step 2: Convert to fraction form
    2,492.17/3,737.32 = 825.98/x
  3. Step 3: Cross multiply
    2,492.17x = 3,737.32 × 825.98
  4. Step 4: Simplify right side
    2,492.17x = 3,086,970.52
  5. Step 5: Solve for x
    x = 3,086,970.52/2,492.17
  6. Step 6: Final answer
    x = 1,238.67

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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.