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Finding the Fourth Proportional to 2,169.18, 2,994.57 and 1,696.23

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Solution

The fourth proportional to 2,169.18, 2,994.57 and 1,696.23 is: 2,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.18 : 2,994.57 = 1,696.23 : x
  2. Step 2: Convert to fraction form
    2,169.18/2,994.57 = 1,696.23/x
  3. Step 3: Cross multiply
    2,169.18x = 2,994.57 × 1,696.23
  4. Step 4: Simplify right side
    2,169.18x = 5,079,479.47
  5. Step 5: Solve for x
    x = 5,079,479.47/2,169.18
  6. Step 6: Final answer
    x = 2,341.66

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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.