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Finding the Fourth Proportional to 2,549.14, 3,820.37 and 2,484.74

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Solution

The fourth proportional to 2,549.14, 3,820.37 and 2,484.74 is: 3,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.14 : 3,820.37 = 2,484.74 : x
  2. Step 2: Convert to fraction form
    2,549.14/3,820.37 = 2,484.74/x
  3. Step 3: Cross multiply
    2,549.14x = 3,820.37 × 2,484.74
  4. Step 4: Simplify right side
    2,549.14x = 9,492,623.28
  5. Step 5: Solve for x
    x = 9,492,623.28/2,549.14
  6. Step 6: Final answer
    x = 3,723.86

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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.