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Finding the Fourth Proportional to 1,283.88, 1,922.12 and 1,150.32

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Solution

The fourth proportional to 1,283.88, 1,922.12 and 1,150.32 is: 1,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.88 : 1,922.12 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    1,283.88/1,922.12 = 1,150.32/x
  3. Step 3: Cross multiply
    1,283.88x = 1,922.12 × 1,150.32
  4. Step 4: Simplify right side
    1,283.88x = 2,211,050.90
  5. Step 5: Solve for x
    x = 2,211,050.90/1,283.88
  6. Step 6: Final answer
    x = 1,722.16

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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.