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Finding the Fourth Proportional to 1,513.63, 2,090.24 and 1,431.82

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Solution

The fourth proportional to 1,513.63, 2,090.24 and 1,431.82 is: 1,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.63 : 2,090.24 = 1,431.82 : x
  2. Step 2: Convert to fraction form
    1,513.63/2,090.24 = 1,431.82/x
  3. Step 3: Cross multiply
    1,513.63x = 2,090.24 × 1,431.82
  4. Step 4: Simplify right side
    1,513.63x = 2,992,847.44
  5. Step 5: Solve for x
    x = 2,992,847.44/1,513.63
  6. Step 6: Final answer
    x = 1,977.26

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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.