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Finding the Fourth Proportional to 2,453.68, 3,385.08 and 1,509.17

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Solution

The fourth proportional to 2,453.68, 3,385.08 and 1,509.17 is: 2,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.68 : 3,385.08 = 1,509.17 : x
  2. Step 2: Convert to fraction form
    2,453.68/3,385.08 = 1,509.17/x
  3. Step 3: Cross multiply
    2,453.68x = 3,385.08 × 1,509.17
  4. Step 4: Simplify right side
    2,453.68x = 5,108,661.18
  5. Step 5: Solve for x
    x = 5,108,661.18/2,453.68
  6. Step 6: Final answer
    x = 2,082.04

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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.