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Finding the Fourth Proportional to 3,120.78, 4,681.98 and 1,173

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Solution

The fourth proportional to 3,120.78, 4,681.98 and 1,173 is: 1,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.78 : 4,681.98 = 1,173 : x
  2. Step 2: Convert to fraction form
    3,120.78/4,681.98 = 1,173/x
  3. Step 3: Cross multiply
    3,120.78x = 4,681.98 × 1,173
  4. Step 4: Simplify right side
    3,120.78x = 5,491,962.54
  5. Step 5: Solve for x
    x = 5,491,962.54/3,120.78
  6. Step 6: Final answer
    x = 1,759.80

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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.