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Finding the Fourth Proportional to 2,505.56, 3,426.99 and 2,465.24

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Solution

The fourth proportional to 2,505.56, 3,426.99 and 2,465.24 is: 3,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.56 : 3,426.99 = 2,465.24 : x
  2. Step 2: Convert to fraction form
    2,505.56/3,426.99 = 2,465.24/x
  3. Step 3: Cross multiply
    2,505.56x = 3,426.99 × 2,465.24
  4. Step 4: Simplify right side
    2,505.56x = 8,448,352.83
  5. Step 5: Solve for x
    x = 8,448,352.83/2,505.56
  6. Step 6: Final answer
    x = 3,371.84

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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.