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Finding the Fourth Proportional to 2,189.76, 3,017.66 and 1,402.44

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Solution

The fourth proportional to 2,189.76, 3,017.66 and 1,402.44 is: 1,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.76 : 3,017.66 = 1,402.44 : x
  2. Step 2: Convert to fraction form
    2,189.76/3,017.66 = 1,402.44/x
  3. Step 3: Cross multiply
    2,189.76x = 3,017.66 × 1,402.44
  4. Step 4: Simplify right side
    2,189.76x = 4,232,087.09
  5. Step 5: Solve for x
    x = 4,232,087.09/2,189.76
  6. Step 6: Final answer
    x = 1,932.67

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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.