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Finding the Fourth Proportional to 1,704.64, 2,350.62 and 1,263.40

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Solution

The fourth proportional to 1,704.64, 2,350.62 and 1,263.40 is: 1,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.64 : 2,350.62 = 1,263.40 : x
  2. Step 2: Convert to fraction form
    1,704.64/2,350.62 = 1,263.40/x
  3. Step 3: Cross multiply
    1,704.64x = 2,350.62 × 1,263.40
  4. Step 4: Simplify right side
    1,704.64x = 2,969,773.31
  5. Step 5: Solve for x
    x = 2,969,773.31/1,704.64
  6. Step 6: Final answer
    x = 1,742.17

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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.