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Finding the Fourth Proportional to 2,622.98, 3,934.14 and 774.06

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Solution

The fourth proportional to 2,622.98, 3,934.14 and 774.06 is: 1,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.98 : 3,934.14 = 774.06 : x
  2. Step 2: Convert to fraction form
    2,622.98/3,934.14 = 774.06/x
  3. Step 3: Cross multiply
    2,622.98x = 3,934.14 × 774.06
  4. Step 4: Simplify right side
    2,622.98x = 3,045,242.75
  5. Step 5: Solve for x
    x = 3,045,242.75/2,622.98
  6. Step 6: Final answer
    x = 1,160.98

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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.