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Finding the Fourth Proportional to 1,947.16, 2,685.02 and 1,696.32

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Solution

The fourth proportional to 1,947.16, 2,685.02 and 1,696.32 is: 2,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.16 : 2,685.02 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    1,947.16/2,685.02 = 1,696.32/x
  3. Step 3: Cross multiply
    1,947.16x = 2,685.02 × 1,696.32
  4. Step 4: Simplify right side
    1,947.16x = 4,554,653.13
  5. Step 5: Solve for x
    x = 4,554,653.13/1,947.16
  6. Step 6: Final answer
    x = 2,339.13

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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.