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Finding the Fourth Proportional to 2,957.39, 4,080.96 and 1,698.05

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Solution

The fourth proportional to 2,957.39, 4,080.96 and 1,698.05 is: 2,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.39 : 4,080.96 = 1,698.05 : x
  2. Step 2: Convert to fraction form
    2,957.39/4,080.96 = 1,698.05/x
  3. Step 3: Cross multiply
    2,957.39x = 4,080.96 × 1,698.05
  4. Step 4: Simplify right side
    2,957.39x = 6,929,653.72
  5. Step 5: Solve for x
    x = 6,929,653.72/2,957.39
  6. Step 6: Final answer
    x = 2,343.16

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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.