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Finding the Fourth Proportional to 2,114.72, 3,172.08 and 2,002.40

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Solution

The fourth proportional to 2,114.72, 3,172.08 and 2,002.40 is: 3,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.72 : 3,172.08 = 2,002.40 : x
  2. Step 2: Convert to fraction form
    2,114.72/3,172.08 = 2,002.40/x
  3. Step 3: Cross multiply
    2,114.72x = 3,172.08 × 2,002.40
  4. Step 4: Simplify right side
    2,114.72x = 6,351,772.99
  5. Step 5: Solve for x
    x = 6,351,772.99/2,114.72
  6. Step 6: Final answer
    x = 3,003.60

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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.