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Finding the Fourth Proportional to 2,492.17, 3,738.16 and 760.75

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Solution

The fourth proportional to 2,492.17, 3,738.16 and 760.75 is: 1,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.17 : 3,738.16 = 760.75 : x
  2. Step 2: Convert to fraction form
    2,492.17/3,738.16 = 760.75/x
  3. Step 3: Cross multiply
    2,492.17x = 3,738.16 × 760.75
  4. Step 4: Simplify right side
    2,492.17x = 2,843,805.22
  5. Step 5: Solve for x
    x = 2,843,805.22/2,492.17
  6. Step 6: Final answer
    x = 1,141.10

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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.