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Finding the Fourth Proportional to 1,445.48, 1,993.52 and 1,299.68

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Solution

The fourth proportional to 1,445.48, 1,993.52 and 1,299.68 is: 1,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.48 : 1,993.52 = 1,299.68 : x
  2. Step 2: Convert to fraction form
    1,445.48/1,993.52 = 1,299.68/x
  3. Step 3: Cross multiply
    1,445.48x = 1,993.52 × 1,299.68
  4. Step 4: Simplify right side
    1,445.48x = 2,590,938.07
  5. Step 5: Solve for x
    x = 2,590,938.07/1,445.48
  6. Step 6: Final answer
    x = 1,792.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.