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Finding the Fourth Proportional to 1,496.06, 2,244.10 and 816.38

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Solution

The fourth proportional to 1,496.06, 2,244.10 and 816.38 is: 1,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.06 : 2,244.10 = 816.38 : x
  2. Step 2: Convert to fraction form
    1,496.06/2,244.10 = 816.38/x
  3. Step 3: Cross multiply
    1,496.06x = 2,244.10 × 816.38
  4. Step 4: Simplify right side
    1,496.06x = 1,832,038.36
  5. Step 5: Solve for x
    x = 1,832,038.36/1,496.06
  6. Step 6: Final answer
    x = 1,224.58

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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.