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Finding the Fourth Proportional to 1,694.84, 2,541.59 and 1,147.18

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Solution

The fourth proportional to 1,694.84, 2,541.59 and 1,147.18 is: 1,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.84 : 2,541.59 = 1,147.18 : x
  2. Step 2: Convert to fraction form
    1,694.84/2,541.59 = 1,147.18/x
  3. Step 3: Cross multiply
    1,694.84x = 2,541.59 × 1,147.18
  4. Step 4: Simplify right side
    1,694.84x = 2,915,661.22
  5. Step 5: Solve for x
    x = 2,915,661.22/1,694.84
  6. Step 6: Final answer
    x = 1,720.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.