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Finding the Fourth Proportional to 2,689.80, 4,035.30 and 2,106.60

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Solution

The fourth proportional to 2,689.80, 4,035.30 and 2,106.60 is: 3,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.80 : 4,035.30 = 2,106.60 : x
  2. Step 2: Convert to fraction form
    2,689.80/4,035.30 = 2,106.60/x
  3. Step 3: Cross multiply
    2,689.80x = 4,035.30 × 2,106.60
  4. Step 4: Simplify right side
    2,689.80x = 8,500,762.98
  5. Step 5: Solve for x
    x = 8,500,762.98/2,689.80
  6. Step 6: Final answer
    x = 3,160.37

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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.