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Finding the Fourth Proportional to 2,022.84, 2,790.45 and 1,323

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Solution

The fourth proportional to 2,022.84, 2,790.45 and 1,323 is: 1,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.84 : 2,790.45 = 1,323 : x
  2. Step 2: Convert to fraction form
    2,022.84/2,790.45 = 1,323/x
  3. Step 3: Cross multiply
    2,022.84x = 2,790.45 × 1,323
  4. Step 4: Simplify right side
    2,022.84x = 3,691,765.35
  5. Step 5: Solve for x
    x = 3,691,765.35/2,022.84
  6. Step 6: Final answer
    x = 1,825.04

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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.