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Finding the Fourth Proportional to 1,701.44, 2,348.81 and 1,322.43

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Solution

The fourth proportional to 1,701.44, 2,348.81 and 1,322.43 is: 1,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.44 : 2,348.81 = 1,322.43 : x
  2. Step 2: Convert to fraction form
    1,701.44/2,348.81 = 1,322.43/x
  3. Step 3: Cross multiply
    1,701.44x = 2,348.81 × 1,322.43
  4. Step 4: Simplify right side
    1,701.44x = 3,106,145.99
  5. Step 5: Solve for x
    x = 3,106,145.99/1,701.44
  6. Step 6: Final answer
    x = 1,825.60

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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.