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Finding the Fourth Proportional to 1,824.45, 2,736.44 and 508.30

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Solution

The fourth proportional to 1,824.45, 2,736.44 and 508.30 is: 762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.45 : 2,736.44 = 508.30 : x
  2. Step 2: Convert to fraction form
    1,824.45/2,736.44 = 508.30/x
  3. Step 3: Cross multiply
    1,824.45x = 2,736.44 × 508.30
  4. Step 4: Simplify right side
    1,824.45x = 1,390,916.23
  5. Step 5: Solve for x
    x = 1,390,916.23/1,824.45
  6. Step 6: Final answer
    x = 762.38

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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.