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Finding the Fourth Proportional to 2,492.64, 3,736.80 and 1,193.22

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Solution

The fourth proportional to 2,492.64, 3,736.80 and 1,193.22 is: 1,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.64 : 3,736.80 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    2,492.64/3,736.80 = 1,193.22/x
  3. Step 3: Cross multiply
    2,492.64x = 3,736.80 × 1,193.22
  4. Step 4: Simplify right side
    2,492.64x = 4,458,824.50
  5. Step 5: Solve for x
    x = 4,458,824.50/2,492.64
  6. Step 6: Final answer
    x = 1,788.80

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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.