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Finding the Fourth Proportional to 2,938.97, 4,055.15 and 1,696.25

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Solution

The fourth proportional to 2,938.97, 4,055.15 and 1,696.25 is: 2,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.97 : 4,055.15 = 1,696.25 : x
  2. Step 2: Convert to fraction form
    2,938.97/4,055.15 = 1,696.25/x
  3. Step 3: Cross multiply
    2,938.97x = 4,055.15 × 1,696.25
  4. Step 4: Simplify right side
    2,938.97x = 6,878,539.71
  5. Step 5: Solve for x
    x = 6,878,539.71/2,938.97
  6. Step 6: Final answer
    x = 2,340.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.