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Finding the Fourth Proportional to 2,533.68, 3,496.53 and 1,589.51

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Solution

The fourth proportional to 2,533.68, 3,496.53 and 1,589.51 is: 2,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.68 : 3,496.53 = 1,589.51 : x
  2. Step 2: Convert to fraction form
    2,533.68/3,496.53 = 1,589.51/x
  3. Step 3: Cross multiply
    2,533.68x = 3,496.53 × 1,589.51
  4. Step 4: Simplify right side
    2,533.68x = 5,557,751.92
  5. Step 5: Solve for x
    x = 5,557,751.92/2,533.68
  6. Step 6: Final answer
    x = 2,193.55

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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.