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Finding the Fourth Proportional to 2,492.02, 3,738.19 and 848.35

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Solution

The fourth proportional to 2,492.02, 3,738.19 and 848.35 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.02 : 3,738.19 = 848.35 : x
  2. Step 2: Convert to fraction form
    2,492.02/3,738.19 = 848.35/x
  3. Step 3: Cross multiply
    2,492.02x = 3,738.19 × 848.35
  4. Step 4: Simplify right side
    2,492.02x = 3,171,293.49
  5. Step 5: Solve for x
    x = 3,171,293.49/2,492.02
  6. Step 6: Final answer
    x = 1,272.58

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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.