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Finding the Fourth Proportional to 2,020, 2,788.32 and 1,192

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Solution

The fourth proportional to 2,020, 2,788.32 and 1,192 is: 1,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020 : 2,788.32 = 1,192 : x
  2. Step 2: Convert to fraction form
    2,020/2,788.32 = 1,192/x
  3. Step 3: Cross multiply
    2,020x = 2,788.32 × 1,192
  4. Step 4: Simplify right side
    2,020x = 3,323,677.44
  5. Step 5: Solve for x
    x = 3,323,677.44/2,020
  6. Step 6: Final answer
    x = 1,645.38

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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.