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Finding the Fourth Proportional to 2,123.64, 2,930.94 and 1,674.48

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Solution

The fourth proportional to 2,123.64, 2,930.94 and 1,674.48 is: 2,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.64 : 2,930.94 = 1,674.48 : x
  2. Step 2: Convert to fraction form
    2,123.64/2,930.94 = 1,674.48/x
  3. Step 3: Cross multiply
    2,123.64x = 2,930.94 × 1,674.48
  4. Step 4: Simplify right side
    2,123.64x = 4,907,800.41
  5. Step 5: Solve for x
    x = 4,907,800.41/2,123.64
  6. Step 6: Final answer
    x = 2,311.03

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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.