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Finding the Fourth Proportional to 1,704.60, 2,337.27 and 1,538.16

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Solution

The fourth proportional to 1,704.60, 2,337.27 and 1,538.16 is: 2,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.60 : 2,337.27 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    1,704.60/2,337.27 = 1,538.16/x
  3. Step 3: Cross multiply
    1,704.60x = 2,337.27 × 1,538.16
  4. Step 4: Simplify right side
    1,704.60x = 3,595,095.22
  5. Step 5: Solve for x
    x = 3,595,095.22/1,704.60
  6. Step 6: Final answer
    x = 2,109.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.