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Finding the Fourth Proportional to 2,987.98, 4,482.05 and 796.71

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Solution

The fourth proportional to 2,987.98, 4,482.05 and 796.71 is: 1,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.98 : 4,482.05 = 796.71 : x
  2. Step 2: Convert to fraction form
    2,987.98/4,482.05 = 796.71/x
  3. Step 3: Cross multiply
    2,987.98x = 4,482.05 × 796.71
  4. Step 4: Simplify right side
    2,987.98x = 3,570,894.06
  5. Step 5: Solve for x
    x = 3,570,894.06/2,987.98
  6. Step 6: Final answer
    x = 1,195.09

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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.