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Finding the Fourth Proportional to 4,269.40, 6,402.06 and 2,190.40

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Solution

The fourth proportional to 4,269.40, 6,402.06 and 2,190.40 is: 3,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.40 : 6,402.06 = 2,190.40 : x
  2. Step 2: Convert to fraction form
    4,269.40/6,402.06 = 2,190.40/x
  3. Step 3: Cross multiply
    4,269.40x = 6,402.06 × 2,190.40
  4. Step 4: Simplify right side
    4,269.40x = 14,023,072.22
  5. Step 5: Solve for x
    x = 14,023,072.22/4,269.40
  6. Step 6: Final answer
    x = 3,284.55

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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.