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Finding the Fourth Proportional to 1,556.44, 2,327.68 and 1,384.20

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Solution

The fourth proportional to 1,556.44, 2,327.68 and 1,384.20 is: 2,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.44 : 2,327.68 = 1,384.20 : x
  2. Step 2: Convert to fraction form
    1,556.44/2,327.68 = 1,384.20/x
  3. Step 3: Cross multiply
    1,556.44x = 2,327.68 × 1,384.20
  4. Step 4: Simplify right side
    1,556.44x = 3,221,974.66
  5. Step 5: Solve for x
    x = 3,221,974.66/1,556.44
  6. Step 6: Final answer
    x = 2,070.09

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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.