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Finding the Fourth Proportional to 2,504.31, 3,455.94 and 1,509.40

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Solution

The fourth proportional to 2,504.31, 3,455.94 and 1,509.40 is: 2,082.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.31 : 3,455.94 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    2,504.31/3,455.94 = 1,509.40/x
  3. Step 3: Cross multiply
    2,504.31x = 3,455.94 × 1,509.40
  4. Step 4: Simplify right side
    2,504.31x = 5,216,395.84
  5. Step 5: Solve for x
    x = 5,216,395.84/2,504.31
  6. Step 6: Final answer
    x = 2,082.97

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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.