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Finding the Fourth Proportional to 1,704.10, 2,556.87 and 1,046.02

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Solution

The fourth proportional to 1,704.10, 2,556.87 and 1,046.02 is: 1,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.10 : 2,556.87 = 1,046.02 : x
  2. Step 2: Convert to fraction form
    1,704.10/2,556.87 = 1,046.02/x
  3. Step 3: Cross multiply
    1,704.10x = 2,556.87 × 1,046.02
  4. Step 4: Simplify right side
    1,704.10x = 2,674,537.16
  5. Step 5: Solve for x
    x = 2,674,537.16/1,704.10
  6. Step 6: Final answer
    x = 1,569.47

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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.