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Finding the Fourth Proportional to 2,824.65, 4,233.56 and 2,492.51

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Solution

The fourth proportional to 2,824.65, 4,233.56 and 2,492.51 is: 3,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.65 : 4,233.56 = 2,492.51 : x
  2. Step 2: Convert to fraction form
    2,824.65/4,233.56 = 2,492.51/x
  3. Step 3: Cross multiply
    2,824.65x = 4,233.56 × 2,492.51
  4. Step 4: Simplify right side
    2,824.65x = 10,552,157.01
  5. Step 5: Solve for x
    x = 10,552,157.01/2,824.65
  6. Step 6: Final answer
    x = 3,735.74

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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.