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Finding the Fourth Proportional to 2,452.36, 3,678.54 and 1,725.19

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Solution

The fourth proportional to 2,452.36, 3,678.54 and 1,725.19 is: 2,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.36 : 3,678.54 = 1,725.19 : x
  2. Step 2: Convert to fraction form
    2,452.36/3,678.54 = 1,725.19/x
  3. Step 3: Cross multiply
    2,452.36x = 3,678.54 × 1,725.19
  4. Step 4: Simplify right side
    2,452.36x = 6,346,180.42
  5. Step 5: Solve for x
    x = 6,346,180.42/2,452.36
  6. Step 6: Final answer
    x = 2,587.79

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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.