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Finding the Fourth Proportional to 1,695.72, 2,340.37 and 949.86

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Solution

The fourth proportional to 1,695.72, 2,340.37 and 949.86 is: 1,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.72 : 2,340.37 = 949.86 : x
  2. Step 2: Convert to fraction form
    1,695.72/2,340.37 = 949.86/x
  3. Step 3: Cross multiply
    1,695.72x = 2,340.37 × 949.86
  4. Step 4: Simplify right side
    1,695.72x = 2,223,038.25
  5. Step 5: Solve for x
    x = 2,223,038.25/1,695.72
  6. Step 6: Final answer
    x = 1,310.97

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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.