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Finding the Fourth Proportional to 2,492.94, 3,732.72 and 2,028.81

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Solution

The fourth proportional to 2,492.94, 3,732.72 and 2,028.81 is: 3,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.94 : 3,732.72 = 2,028.81 : x
  2. Step 2: Convert to fraction form
    2,492.94/3,732.72 = 2,028.81/x
  3. Step 3: Cross multiply
    2,492.94x = 3,732.72 × 2,028.81
  4. Step 4: Simplify right side
    2,492.94x = 7,572,979.66
  5. Step 5: Solve for x
    x = 7,572,979.66/2,492.94
  6. Step 6: Final answer
    x = 3,037.77

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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.