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Finding the Fourth Proportional to 1,694.19, 2,540.75 and 707

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Solution

The fourth proportional to 1,694.19, 2,540.75 and 707 is: 1,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.19 : 2,540.75 = 707 : x
  2. Step 2: Convert to fraction form
    1,694.19/2,540.75 = 707/x
  3. Step 3: Cross multiply
    1,694.19x = 2,540.75 × 707
  4. Step 4: Simplify right side
    1,694.19x = 1,796,310.25
  5. Step 5: Solve for x
    x = 1,796,310.25/1,694.19
  6. Step 6: Final answer
    x = 1,060.28

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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.