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Finding the Fourth Proportional to 2,989.90, 4,123.74 and 2,654.16

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Solution

The fourth proportional to 2,989.90, 4,123.74 and 2,654.16 is: 3,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.90 : 4,123.74 = 2,654.16 : x
  2. Step 2: Convert to fraction form
    2,989.90/4,123.74 = 2,654.16/x
  3. Step 3: Cross multiply
    2,989.90x = 4,123.74 × 2,654.16
  4. Step 4: Simplify right side
    2,989.90x = 10,945,045.32
  5. Step 5: Solve for x
    x = 10,945,045.32/2,989.90
  6. Step 6: Final answer
    x = 3,660.67

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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.