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Finding the Fourth Proportional to 1,695.47, 2,339.75 and 949.49

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Solution

The fourth proportional to 1,695.47, 2,339.75 and 949.49 is: 1,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.47 : 2,339.75 = 949.49 : x
  2. Step 2: Convert to fraction form
    1,695.47/2,339.75 = 949.49/x
  3. Step 3: Cross multiply
    1,695.47x = 2,339.75 × 949.49
  4. Step 4: Simplify right side
    1,695.47x = 2,221,568.68
  5. Step 5: Solve for x
    x = 2,221,568.68/1,695.47
  6. Step 6: Final answer
    x = 1,310.30

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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.