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Finding the Fourth Proportional to 2,688.28, 3,709.90 and 1,509.74

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Solution

The fourth proportional to 2,688.28, 3,709.90 and 1,509.74 is: 2,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.28 : 3,709.90 = 1,509.74 : x
  2. Step 2: Convert to fraction form
    2,688.28/3,709.90 = 1,509.74/x
  3. Step 3: Cross multiply
    2,688.28x = 3,709.90 × 1,509.74
  4. Step 4: Simplify right side
    2,688.28x = 5,600,984.43
  5. Step 5: Solve for x
    x = 5,600,984.43/2,688.28
  6. Step 6: Final answer
    x = 2,083.48

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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.