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Finding the Fourth Proportional to 2,688.09, 3,709.63 and 1,509.13

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Solution

The fourth proportional to 2,688.09, 3,709.63 and 1,509.13 is: 2,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.09 : 3,709.63 = 1,509.13 : x
  2. Step 2: Convert to fraction form
    2,688.09/3,709.63 = 1,509.13/x
  3. Step 3: Cross multiply
    2,688.09x = 3,709.63 × 1,509.13
  4. Step 4: Simplify right side
    2,688.09x = 5,598,313.92
  5. Step 5: Solve for x
    x = 5,598,313.92/2,688.09
  6. Step 6: Final answer
    x = 2,082.64

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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.