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Finding the Fourth Proportional to 2,920.84, 4,370.32 and 1,623.22

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Solution

The fourth proportional to 2,920.84, 4,370.32 and 1,623.22 is: 2,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.84 : 4,370.32 = 1,623.22 : x
  2. Step 2: Convert to fraction form
    2,920.84/4,370.32 = 1,623.22/x
  3. Step 3: Cross multiply
    2,920.84x = 4,370.32 × 1,623.22
  4. Step 4: Simplify right side
    2,920.84x = 7,093,975.85
  5. Step 5: Solve for x
    x = 7,093,975.85/2,920.84
  6. Step 6: Final answer
    x = 2,428.75

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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.