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Finding the Fourth Proportional to 1,235.40, 1,847.70 and 943.80

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Solution

The fourth proportional to 1,235.40, 1,847.70 and 943.80 is: 1,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.40 : 1,847.70 = 943.80 : x
  2. Step 2: Convert to fraction form
    1,235.40/1,847.70 = 943.80/x
  3. Step 3: Cross multiply
    1,235.40x = 1,847.70 × 943.80
  4. Step 4: Simplify right side
    1,235.40x = 1,743,859.26
  5. Step 5: Solve for x
    x = 1,743,859.26/1,235.40
  6. Step 6: Final answer
    x = 1,411.57

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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.