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Finding the Fourth Proportional to 2,735.28, 3,775.11 and 1,740.99

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Solution

The fourth proportional to 2,735.28, 3,775.11 and 1,740.99 is: 2,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.28 : 3,775.11 = 1,740.99 : x
  2. Step 2: Convert to fraction form
    2,735.28/3,775.11 = 1,740.99/x
  3. Step 3: Cross multiply
    2,735.28x = 3,775.11 × 1,740.99
  4. Step 4: Simplify right side
    2,735.28x = 6,572,428.76
  5. Step 5: Solve for x
    x = 6,572,428.76/2,735.28
  6. Step 6: Final answer
    x = 2,402.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.