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Finding the Fourth Proportional to 2,957.17, 4,080.45 and 1,698.29

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Solution

The fourth proportional to 2,957.17, 4,080.45 and 1,698.29 is: 2,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.17 : 4,080.45 = 1,698.29 : x
  2. Step 2: Convert to fraction form
    2,957.17/4,080.45 = 1,698.29/x
  3. Step 3: Cross multiply
    2,957.17x = 4,080.45 × 1,698.29
  4. Step 4: Simplify right side
    2,957.17x = 6,929,787.43
  5. Step 5: Solve for x
    x = 6,929,787.43/2,957.17
  6. Step 6: Final answer
    x = 2,343.38

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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.