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Finding the Fourth Proportional to 2,483.19, 3,722.40 and 922.77

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Solution

The fourth proportional to 2,483.19, 3,722.40 and 922.77 is: 1,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.19 : 3,722.40 = 922.77 : x
  2. Step 2: Convert to fraction form
    2,483.19/3,722.40 = 922.77/x
  3. Step 3: Cross multiply
    2,483.19x = 3,722.40 × 922.77
  4. Step 4: Simplify right side
    2,483.19x = 3,434,919.05
  5. Step 5: Solve for x
    x = 3,434,919.05/2,483.19
  6. Step 6: Final answer
    x = 1,383.27

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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.