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Finding the Fourth Proportional to 1,741.53, 2,398.05 and 1,505.04

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Solution

The fourth proportional to 1,741.53, 2,398.05 and 1,505.04 is: 2,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.53 : 2,398.05 = 1,505.04 : x
  2. Step 2: Convert to fraction form
    1,741.53/2,398.05 = 1,505.04/x
  3. Step 3: Cross multiply
    1,741.53x = 2,398.05 × 1,505.04
  4. Step 4: Simplify right side
    1,741.53x = 3,609,161.17
  5. Step 5: Solve for x
    x = 3,609,161.17/1,741.53
  6. Step 6: Final answer
    x = 2,072.41

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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.