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Finding the Fourth Proportional to 2,090.76, 3,137.65 and 1,684.80

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Solution

The fourth proportional to 2,090.76, 3,137.65 and 1,684.80 is: 2,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.76 : 3,137.65 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    2,090.76/3,137.65 = 1,684.80/x
  3. Step 3: Cross multiply
    2,090.76x = 3,137.65 × 1,684.80
  4. Step 4: Simplify right side
    2,090.76x = 5,286,312.72
  5. Step 5: Solve for x
    x = 5,286,312.72/2,090.76
  6. Step 6: Final answer
    x = 2,528.42

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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.