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Finding the Fourth Proportional to 1,704.22, 2,559.41 and 1,567.01

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Solution

The fourth proportional to 1,704.22, 2,559.41 and 1,567.01 is: 2,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.22 : 2,559.41 = 1,567.01 : x
  2. Step 2: Convert to fraction form
    1,704.22/2,559.41 = 1,567.01/x
  3. Step 3: Cross multiply
    1,704.22x = 2,559.41 × 1,567.01
  4. Step 4: Simplify right side
    1,704.22x = 4,010,613.23
  5. Step 5: Solve for x
    x = 4,010,613.23/1,704.22
  6. Step 6: Final answer
    x = 2,353.35

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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.