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Finding the Fourth Proportional to 2,446.04, 3,667.35 and 779.60

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Solution

The fourth proportional to 2,446.04, 3,667.35 and 779.60 is: 1,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.04 : 3,667.35 = 779.60 : x
  2. Step 2: Convert to fraction form
    2,446.04/3,667.35 = 779.60/x
  3. Step 3: Cross multiply
    2,446.04x = 3,667.35 × 779.60
  4. Step 4: Simplify right side
    2,446.04x = 2,859,075.23
  5. Step 5: Solve for x
    x = 2,859,075.23/2,446.04
  6. Step 6: Final answer
    x = 1,168.86

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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.