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Finding the Fourth Proportional to 1,957.66, 2,922.51 and 1,889.32

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Solution

The fourth proportional to 1,957.66, 2,922.51 and 1,889.32 is: 2,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.66 : 2,922.51 = 1,889.32 : x
  2. Step 2: Convert to fraction form
    1,957.66/2,922.51 = 1,889.32/x
  3. Step 3: Cross multiply
    1,957.66x = 2,922.51 × 1,889.32
  4. Step 4: Simplify right side
    1,957.66x = 5,521,556.59
  5. Step 5: Solve for x
    x = 5,521,556.59/1,957.66
  6. Step 6: Final answer
    x = 2,820.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.