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Finding the Fourth Proportional to 1,657.40, 2,483.10 and 789.80

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Solution

The fourth proportional to 1,657.40, 2,483.10 and 789.80 is: 1,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.40 : 2,483.10 = 789.80 : x
  2. Step 2: Convert to fraction form
    1,657.40/2,483.10 = 789.80/x
  3. Step 3: Cross multiply
    1,657.40x = 2,483.10 × 789.80
  4. Step 4: Simplify right side
    1,657.40x = 1,961,152.38
  5. Step 5: Solve for x
    x = 1,961,152.38/1,657.40
  6. Step 6: Final answer
    x = 1,183.27

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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.