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Finding the Fourth Proportional to 1,219.37, 1,825.94 and 670.96

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Solution

The fourth proportional to 1,219.37, 1,825.94 and 670.96 is: 1,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.37 : 1,825.94 = 670.96 : x
  2. Step 2: Convert to fraction form
    1,219.37/1,825.94 = 670.96/x
  3. Step 3: Cross multiply
    1,219.37x = 1,825.94 × 670.96
  4. Step 4: Simplify right side
    1,219.37x = 1,225,123.57
  5. Step 5: Solve for x
    x = 1,225,123.57/1,219.37
  6. Step 6: Final answer
    x = 1,004.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.