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Finding the Fourth Proportional to 2,623.83, 3,934.82 and 774.45

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Solution

The fourth proportional to 2,623.83, 3,934.82 and 774.45 is: 1,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.83 : 3,934.82 = 774.45 : x
  2. Step 2: Convert to fraction form
    2,623.83/3,934.82 = 774.45/x
  3. Step 3: Cross multiply
    2,623.83x = 3,934.82 × 774.45
  4. Step 4: Simplify right side
    2,623.83x = 3,047,321.35
  5. Step 5: Solve for x
    x = 3,047,321.35/2,623.83
  6. Step 6: Final answer
    x = 1,161.40

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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.