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Finding the Fourth Proportional to 1,696.12, 2,341.04 and 1,106.80

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Solution

The fourth proportional to 1,696.12, 2,341.04 and 1,106.80 is: 1,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.12 : 2,341.04 = 1,106.80 : x
  2. Step 2: Convert to fraction form
    1,696.12/2,341.04 = 1,106.80/x
  3. Step 3: Cross multiply
    1,696.12x = 2,341.04 × 1,106.80
  4. Step 4: Simplify right side
    1,696.12x = 2,591,063.07
  5. Step 5: Solve for x
    x = 2,591,063.07/1,696.12
  6. Step 6: Final answer
    x = 1,527.64

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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.