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Finding the Fourth Proportional to 1,495.18, 2,243.24 and 455.38

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Solution

The fourth proportional to 1,495.18, 2,243.24 and 455.38 is: 683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.18 : 2,243.24 = 455.38 : x
  2. Step 2: Convert to fraction form
    1,495.18/2,243.24 = 455.38/x
  3. Step 3: Cross multiply
    1,495.18x = 2,243.24 × 455.38
  4. Step 4: Simplify right side
    1,495.18x = 1,021,524.48
  5. Step 5: Solve for x
    x = 1,021,524.48/1,495.18
  6. Step 6: Final answer
    x = 683.21

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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.