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Finding the Fourth Proportional to 2,072.40, 2,859.41 and 1,401.45

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Solution

The fourth proportional to 2,072.40, 2,859.41 and 1,401.45 is: 1,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.40 : 2,859.41 = 1,401.45 : x
  2. Step 2: Convert to fraction form
    2,072.40/2,859.41 = 1,401.45/x
  3. Step 3: Cross multiply
    2,072.40x = 2,859.41 × 1,401.45
  4. Step 4: Simplify right side
    2,072.40x = 4,007,313.14
  5. Step 5: Solve for x
    x = 4,007,313.14/2,072.40
  6. Step 6: Final answer
    x = 1,933.66

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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.