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Finding the Fourth Proportional to 1,704.08, 2,349.64 and 1,538.20

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Solution

The fourth proportional to 1,704.08, 2,349.64 and 1,538.20 is: 2,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.08 : 2,349.64 = 1,538.20 : x
  2. Step 2: Convert to fraction form
    1,704.08/2,349.64 = 1,538.20/x
  3. Step 3: Cross multiply
    1,704.08x = 2,349.64 × 1,538.20
  4. Step 4: Simplify right side
    1,704.08x = 3,614,216.25
  5. Step 5: Solve for x
    x = 3,614,216.25/1,704.08
  6. Step 6: Final answer
    x = 2,120.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.