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Finding the Fourth Proportional to 2,492.69, 3,738.15 and 848.84

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Solution

The fourth proportional to 2,492.69, 3,738.15 and 848.84 is: 1,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.69 : 3,738.15 = 848.84 : x
  2. Step 2: Convert to fraction form
    2,492.69/3,738.15 = 848.84/x
  3. Step 3: Cross multiply
    2,492.69x = 3,738.15 × 848.84
  4. Step 4: Simplify right side
    2,492.69x = 3,173,072.56
  5. Step 5: Solve for x
    x = 3,173,072.56/2,492.69
  6. Step 6: Final answer
    x = 1,272.95

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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.