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Finding the Fourth Proportional to 1,704.96, 2,352.06 and 1,115.40

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Solution

The fourth proportional to 1,704.96, 2,352.06 and 1,115.40 is: 1,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.96 : 2,352.06 = 1,115.40 : x
  2. Step 2: Convert to fraction form
    1,704.96/2,352.06 = 1,115.40/x
  3. Step 3: Cross multiply
    1,704.96x = 2,352.06 × 1,115.40
  4. Step 4: Simplify right side
    1,704.96x = 2,623,487.72
  5. Step 5: Solve for x
    x = 2,623,487.72/1,704.96
  6. Step 6: Final answer
    x = 1,538.74

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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.