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Finding the Fourth Proportional to 1,741.72, 2,419.68 and 1,725.52

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Solution

The fourth proportional to 1,741.72, 2,419.68 and 1,725.52 is: 2,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.72 : 2,419.68 = 1,725.52 : x
  2. Step 2: Convert to fraction form
    1,741.72/2,419.68 = 1,725.52/x
  3. Step 3: Cross multiply
    1,741.72x = 2,419.68 × 1,725.52
  4. Step 4: Simplify right side
    1,741.72x = 4,175,206.23
  5. Step 5: Solve for x
    x = 4,175,206.23/1,741.72
  6. Step 6: Final answer
    x = 2,397.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.