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Finding the Fourth Proportional to 1,938.54, 2,675.24 and 1,192.93

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Solution

The fourth proportional to 1,938.54, 2,675.24 and 1,192.93 is: 1,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.54 : 2,675.24 = 1,192.93 : x
  2. Step 2: Convert to fraction form
    1,938.54/2,675.24 = 1,192.93/x
  3. Step 3: Cross multiply
    1,938.54x = 2,675.24 × 1,192.93
  4. Step 4: Simplify right side
    1,938.54x = 3,191,377.30
  5. Step 5: Solve for x
    x = 3,191,377.30/1,938.54
  6. Step 6: Final answer
    x = 1,646.28

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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.