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Finding the Fourth Proportional to 1,405.21, 1,940.01 and 933.75

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Solution

The fourth proportional to 1,405.21, 1,940.01 and 933.75 is: 1,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.21 : 1,940.01 = 933.75 : x
  2. Step 2: Convert to fraction form
    1,405.21/1,940.01 = 933.75/x
  3. Step 3: Cross multiply
    1,405.21x = 1,940.01 × 933.75
  4. Step 4: Simplify right side
    1,405.21x = 1,811,484.34
  5. Step 5: Solve for x
    x = 1,811,484.34/1,405.21
  6. Step 6: Final answer
    x = 1,289.12

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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.