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Finding the Fourth Proportional to 1,556.05, 2,334.08 and 401.80

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Solution

The fourth proportional to 1,556.05, 2,334.08 and 401.80 is: 602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.05 : 2,334.08 = 401.80 : x
  2. Step 2: Convert to fraction form
    1,556.05/2,334.08 = 401.80/x
  3. Step 3: Cross multiply
    1,556.05x = 2,334.08 × 401.80
  4. Step 4: Simplify right side
    1,556.05x = 937,833.34
  5. Step 5: Solve for x
    x = 937,833.34/1,556.05
  6. Step 6: Final answer
    x = 602.70

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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.