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Finding the Fourth Proportional to 2,780.90, 4,168.17 and 1,317.98

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Solution

The fourth proportional to 2,780.90, 4,168.17 and 1,317.98 is: 1,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.90 : 4,168.17 = 1,317.98 : x
  2. Step 2: Convert to fraction form
    2,780.90/4,168.17 = 1,317.98/x
  3. Step 3: Cross multiply
    2,780.90x = 4,168.17 × 1,317.98
  4. Step 4: Simplify right side
    2,780.90x = 5,493,564.70
  5. Step 5: Solve for x
    x = 5,493,564.70/2,780.90
  6. Step 6: Final answer
    x = 1,975.46

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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.