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Finding the Fourth Proportional to 1,704.17, 2,556.41 and 730.04

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Solution

The fourth proportional to 1,704.17, 2,556.41 and 730.04 is: 1,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.17 : 2,556.41 = 730.04 : x
  2. Step 2: Convert to fraction form
    1,704.17/2,556.41 = 730.04/x
  3. Step 3: Cross multiply
    1,704.17x = 2,556.41 × 730.04
  4. Step 4: Simplify right side
    1,704.17x = 1,866,265.12
  5. Step 5: Solve for x
    x = 1,866,265.12/1,704.17
  6. Step 6: Final answer
    x = 1,095.12

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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.