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Finding the Fourth Proportional to 2,492.46, 3,740.13 and 1,999.44

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Solution

The fourth proportional to 2,492.46, 3,740.13 and 1,999.44 is: 3,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.46 : 3,740.13 = 1,999.44 : x
  2. Step 2: Convert to fraction form
    2,492.46/3,740.13 = 1,999.44/x
  3. Step 3: Cross multiply
    2,492.46x = 3,740.13 × 1,999.44
  4. Step 4: Simplify right side
    2,492.46x = 7,478,165.53
  5. Step 5: Solve for x
    x = 7,478,165.53/2,492.46
  6. Step 6: Final answer
    x = 3,000.32

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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.