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Finding the Fourth Proportional to 1,792.94, 2,689.76 and 622.90

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Solution

The fourth proportional to 1,792.94, 2,689.76 and 622.90 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.94 : 2,689.76 = 622.90 : x
  2. Step 2: Convert to fraction form
    1,792.94/2,689.76 = 622.90/x
  3. Step 3: Cross multiply
    1,792.94x = 2,689.76 × 622.90
  4. Step 4: Simplify right side
    1,792.94x = 1,675,451.50
  5. Step 5: Solve for x
    x = 1,675,451.50/1,792.94
  6. Step 6: Final answer
    x = 934.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.