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Finding the Fourth Proportional to 1,704.19, 2,351.75 and 947.92

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Solution

The fourth proportional to 1,704.19, 2,351.75 and 947.92 is: 1,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.19 : 2,351.75 = 947.92 : x
  2. Step 2: Convert to fraction form
    1,704.19/2,351.75 = 947.92/x
  3. Step 3: Cross multiply
    1,704.19x = 2,351.75 × 947.92
  4. Step 4: Simplify right side
    1,704.19x = 2,229,266.12
  5. Step 5: Solve for x
    x = 2,229,266.12/1,704.19
  6. Step 6: Final answer
    x = 1,308.11

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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.