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Finding the Fourth Proportional to 2,507.97, 3,462.39 and 1,513.50

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Solution

The fourth proportional to 2,507.97, 3,462.39 and 1,513.50 is: 2,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.97 : 3,462.39 = 1,513.50 : x
  2. Step 2: Convert to fraction form
    2,507.97/3,462.39 = 1,513.50/x
  3. Step 3: Cross multiply
    2,507.97x = 3,462.39 × 1,513.50
  4. Step 4: Simplify right side
    2,507.97x = 5,240,327.27
  5. Step 5: Solve for x
    x = 5,240,327.27/2,507.97
  6. Step 6: Final answer
    x = 2,089.47

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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.