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Finding the Fourth Proportional to 2,622.34, 3,616.45 and 2,055.25

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Solution

The fourth proportional to 2,622.34, 3,616.45 and 2,055.25 is: 2,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.34 : 3,616.45 = 2,055.25 : x
  2. Step 2: Convert to fraction form
    2,622.34/3,616.45 = 2,055.25/x
  3. Step 3: Cross multiply
    2,622.34x = 3,616.45 × 2,055.25
  4. Step 4: Simplify right side
    2,622.34x = 7,432,708.86
  5. Step 5: Solve for x
    x = 7,432,708.86/2,622.34
  6. Step 6: Final answer
    x = 2,834.38

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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.