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Finding the Fourth Proportional to 1,400.96, 1,933.20 and 1,353.78

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Solution

The fourth proportional to 1,400.96, 1,933.20 and 1,353.78 is: 1,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.96 : 1,933.20 = 1,353.78 : x
  2. Step 2: Convert to fraction form
    1,400.96/1,933.20 = 1,353.78/x
  3. Step 3: Cross multiply
    1,400.96x = 1,933.20 × 1,353.78
  4. Step 4: Simplify right side
    1,400.96x = 2,617,127.50
  5. Step 5: Solve for x
    x = 2,617,127.50/1,400.96
  6. Step 6: Final answer
    x = 1,868.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.