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Finding the Fourth Proportional to 2,492.34, 3,738.72 and 760.98

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Solution

The fourth proportional to 2,492.34, 3,738.72 and 760.98 is: 1,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.34 : 3,738.72 = 760.98 : x
  2. Step 2: Convert to fraction form
    2,492.34/3,738.72 = 760.98/x
  3. Step 3: Cross multiply
    2,492.34x = 3,738.72 × 760.98
  4. Step 4: Simplify right side
    2,492.34x = 2,845,091.15
  5. Step 5: Solve for x
    x = 2,845,091.15/2,492.34
  6. Step 6: Final answer
    x = 1,141.53

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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.