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Finding the Fourth Proportional to 1,695.49, 2,339.79 and 949.43

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Solution

The fourth proportional to 1,695.49, 2,339.79 and 949.43 is: 1,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.49 : 2,339.79 = 949.43 : x
  2. Step 2: Convert to fraction form
    1,695.49/2,339.79 = 949.43/x
  3. Step 3: Cross multiply
    1,695.49x = 2,339.79 × 949.43
  4. Step 4: Simplify right side
    1,695.49x = 2,221,466.82
  5. Step 5: Solve for x
    x = 2,221,466.82/1,695.49
  6. Step 6: Final answer
    x = 1,310.22

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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.