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Finding the Fourth Proportional to 1,625, 2,431.82 and 1,530.24

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Solution

The fourth proportional to 1,625, 2,431.82 and 1,530.24 is: 2,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625 : 2,431.82 = 1,530.24 : x
  2. Step 2: Convert to fraction form
    1,625/2,431.82 = 1,530.24/x
  3. Step 3: Cross multiply
    1,625x = 2,431.82 × 1,530.24
  4. Step 4: Simplify right side
    1,625x = 3,721,268.24
  5. Step 5: Solve for x
    x = 3,721,268.24/1,625
  6. Step 6: Final answer
    x = 2,290.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.