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Finding the Fourth Proportional to 2,336.22, 3,223.95 and 1,274.00

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Solution

The fourth proportional to 2,336.22, 3,223.95 and 1,274.00 is: 1,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.22 : 3,223.95 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    2,336.22/3,223.95 = 1,274.00/x
  3. Step 3: Cross multiply
    2,336.22x = 3,223.95 × 1,274.00
  4. Step 4: Simplify right side
    2,336.22x = 4,107,303.49
  5. Step 5: Solve for x
    x = 4,107,303.49/2,336.22
  6. Step 6: Final answer
    x = 1,758.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.