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Finding the Fourth Proportional to 1,452.74, 2,165.43 and 1,336.10

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Solution

The fourth proportional to 1,452.74, 2,165.43 and 1,336.10 is: 1,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.74 : 2,165.43 = 1,336.10 : x
  2. Step 2: Convert to fraction form
    1,452.74/2,165.43 = 1,336.10/x
  3. Step 3: Cross multiply
    1,452.74x = 2,165.43 × 1,336.10
  4. Step 4: Simplify right side
    1,452.74x = 2,893,224.34
  5. Step 5: Solve for x
    x = 2,893,224.34/1,452.74
  6. Step 6: Final answer
    x = 1,991.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.