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Finding the Fourth Proportional to 1,695.96, 2,340.40 and 949.95

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Solution

The fourth proportional to 1,695.96, 2,340.40 and 949.95 is: 1,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.96 : 2,340.40 = 949.95 : x
  2. Step 2: Convert to fraction form
    1,695.96/2,340.40 = 949.95/x
  3. Step 3: Cross multiply
    1,695.96x = 2,340.40 × 949.95
  4. Step 4: Simplify right side
    1,695.96x = 2,223,262.98
  5. Step 5: Solve for x
    x = 2,223,262.98/1,695.96
  6. Step 6: Final answer
    x = 1,310.92

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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.