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Finding the Fourth Proportional to 2,533.26, 3,494.94 and 1,538.16

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Solution

The fourth proportional to 2,533.26, 3,494.94 and 1,538.16 is: 2,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.26 : 3,494.94 = 1,538.16 : x
  2. Step 2: Convert to fraction form
    2,533.26/3,494.94 = 1,538.16/x
  3. Step 3: Cross multiply
    2,533.26x = 3,494.94 × 1,538.16
  4. Step 4: Simplify right side
    2,533.26x = 5,375,776.91
  5. Step 5: Solve for x
    x = 5,375,776.91/2,533.26
  6. Step 6: Final answer
    x = 2,122.08

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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.