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Finding the Fourth Proportional to 1,556.08, 2,334.16 and 401.84

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Solution

The fourth proportional to 1,556.08, 2,334.16 and 401.84 is: 602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.08 : 2,334.16 = 401.84 : x
  2. Step 2: Convert to fraction form
    1,556.08/2,334.16 = 401.84/x
  3. Step 3: Cross multiply
    1,556.08x = 2,334.16 × 401.84
  4. Step 4: Simplify right side
    1,556.08x = 937,958.85
  5. Step 5: Solve for x
    x = 937,958.85/1,556.08
  6. Step 6: Final answer
    x = 602.77

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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.