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Finding the Fourth Proportional to 1,840.46, 2,540.54 and 1,177.67

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Solution

The fourth proportional to 1,840.46, 2,540.54 and 1,177.67 is: 1,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.46 : 2,540.54 = 1,177.67 : x
  2. Step 2: Convert to fraction form
    1,840.46/2,540.54 = 1,177.67/x
  3. Step 3: Cross multiply
    1,840.46x = 2,540.54 × 1,177.67
  4. Step 4: Simplify right side
    1,840.46x = 2,991,927.04
  5. Step 5: Solve for x
    x = 2,991,927.04/1,840.46
  6. Step 6: Final answer
    x = 1,625.65

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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.