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Finding the Fourth Proportional to 1,401.03, 1,933.34 and 841.93

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Solution

The fourth proportional to 1,401.03, 1,933.34 and 841.93 is: 1,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.03 : 1,933.34 = 841.93 : x
  2. Step 2: Convert to fraction form
    1,401.03/1,933.34 = 841.93/x
  3. Step 3: Cross multiply
    1,401.03x = 1,933.34 × 841.93
  4. Step 4: Simplify right side
    1,401.03x = 1,627,727.90
  5. Step 5: Solve for x
    x = 1,627,727.90/1,401.03
  6. Step 6: Final answer
    x = 1,161.81

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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.