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Finding the Fourth Proportional to 2,002.96, 2,989.94 and 1,730.80

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Solution

The fourth proportional to 2,002.96, 2,989.94 and 1,730.80 is: 2,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.96 : 2,989.94 = 1,730.80 : x
  2. Step 2: Convert to fraction form
    2,002.96/2,989.94 = 1,730.80/x
  3. Step 3: Cross multiply
    2,002.96x = 2,989.94 × 1,730.80
  4. Step 4: Simplify right side
    2,002.96x = 5,174,988.15
  5. Step 5: Solve for x
    x = 5,174,988.15/2,002.96
  6. Step 6: Final answer
    x = 2,583.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.