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Finding the Fourth Proportional to 2,189.35, 3,279.70 and 1,264.33

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Solution

The fourth proportional to 2,189.35, 3,279.70 and 1,264.33 is: 1,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.35 : 3,279.70 = 1,264.33 : x
  2. Step 2: Convert to fraction form
    2,189.35/3,279.70 = 1,264.33/x
  3. Step 3: Cross multiply
    2,189.35x = 3,279.70 × 1,264.33
  4. Step 4: Simplify right side
    2,189.35x = 4,146,623.10
  5. Step 5: Solve for x
    x = 4,146,623.10/2,189.35
  6. Step 6: Final answer
    x = 1,894.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.