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Finding the Fourth Proportional to 1,393.80, 2,090.70 and 367.80

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Solution

The fourth proportional to 1,393.80, 2,090.70 and 367.80 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.80 : 2,090.70 = 367.80 : x
  2. Step 2: Convert to fraction form
    1,393.80/2,090.70 = 367.80/x
  3. Step 3: Cross multiply
    1,393.80x = 2,090.70 × 367.80
  4. Step 4: Simplify right side
    1,393.80x = 768,959.46
  5. Step 5: Solve for x
    x = 768,959.46/1,393.80
  6. Step 6: Final answer
    x = 551.70

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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.