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Finding the Fourth Proportional to 1,937.77, 2,674.41 and 1,141.24

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Solution

The fourth proportional to 1,937.77, 2,674.41 and 1,141.24 is: 1,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.77 : 2,674.41 = 1,141.24 : x
  2. Step 2: Convert to fraction form
    1,937.77/2,674.41 = 1,141.24/x
  3. Step 3: Cross multiply
    1,937.77x = 2,674.41 × 1,141.24
  4. Step 4: Simplify right side
    1,937.77x = 3,052,143.67
  5. Step 5: Solve for x
    x = 3,052,143.67/1,937.77
  6. Step 6: Final answer
    x = 1,575.08

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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.