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Finding the Fourth Proportional to 2,702.21, 4,052.99 and 2,009.90

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Solution

The fourth proportional to 2,702.21, 4,052.99 and 2,009.90 is: 3,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.21 : 4,052.99 = 2,009.90 : x
  2. Step 2: Convert to fraction form
    2,702.21/4,052.99 = 2,009.90/x
  3. Step 3: Cross multiply
    2,702.21x = 4,052.99 × 2,009.90
  4. Step 4: Simplify right side
    2,702.21x = 8,146,119.76
  5. Step 5: Solve for x
    x = 8,146,119.76/2,702.21
  6. Step 6: Final answer
    x = 3,014.62

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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.