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Finding the Fourth Proportional to 2,606.73, 3,575.87 and 2,465.51

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Solution

The fourth proportional to 2,606.73, 3,575.87 and 2,465.51 is: 3,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.73 : 3,575.87 = 2,465.51 : x
  2. Step 2: Convert to fraction form
    2,606.73/3,575.87 = 2,465.51/x
  3. Step 3: Cross multiply
    2,606.73x = 3,575.87 × 2,465.51
  4. Step 4: Simplify right side
    2,606.73x = 8,816,313.04
  5. Step 5: Solve for x
    x = 8,816,313.04/2,606.73
  6. Step 6: Final answer
    x = 3,382.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.