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Finding the Fourth Proportional to 2,492.46, 3,738.06 and 848.94

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Solution

The fourth proportional to 2,492.46, 3,738.06 and 848.94 is: 1,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.46 : 3,738.06 = 848.94 : x
  2. Step 2: Convert to fraction form
    2,492.46/3,738.06 = 848.94/x
  3. Step 3: Cross multiply
    2,492.46x = 3,738.06 × 848.94
  4. Step 4: Simplify right side
    2,492.46x = 3,173,388.66
  5. Step 5: Solve for x
    x = 3,173,388.66/2,492.46
  6. Step 6: Final answer
    x = 1,273.20

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Why These Related Problems?

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