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Finding the Fourth Proportional to 2,492.13, 3,439.13 and 1,444.80

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Solution

The fourth proportional to 2,492.13, 3,439.13 and 1,444.80 is: 1,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.13 : 3,439.13 = 1,444.80 : x
  2. Step 2: Convert to fraction form
    2,492.13/3,439.13 = 1,444.80/x
  3. Step 3: Cross multiply
    2,492.13x = 3,439.13 × 1,444.80
  4. Step 4: Simplify right side
    2,492.13x = 4,968,855.02
  5. Step 5: Solve for x
    x = 4,968,855.02/2,492.13
  6. Step 6: Final answer
    x = 1,993.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.