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Finding the Fourth Proportional to 3,214.70, 4,437.06 and 2,020.40

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Solution

The fourth proportional to 3,214.70, 4,437.06 and 2,020.40 is: 2,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.70 : 4,437.06 = 2,020.40 : x
  2. Step 2: Convert to fraction form
    3,214.70/4,437.06 = 2,020.40/x
  3. Step 3: Cross multiply
    3,214.70x = 4,437.06 × 2,020.40
  4. Step 4: Simplify right side
    3,214.70x = 8,964,636.02
  5. Step 5: Solve for x
    x = 8,964,636.02/3,214.70
  6. Step 6: Final answer
    x = 2,788.64

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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.