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Finding the Fourth Proportional to 1,354.08, 2,026.64 and 1,027.64

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Solution

The fourth proportional to 1,354.08, 2,026.64 and 1,027.64 is: 1,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.08 : 2,026.64 = 1,027.64 : x
  2. Step 2: Convert to fraction form
    1,354.08/2,026.64 = 1,027.64/x
  3. Step 3: Cross multiply
    1,354.08x = 2,026.64 × 1,027.64
  4. Step 4: Simplify right side
    1,354.08x = 2,082,656.33
  5. Step 5: Solve for x
    x = 2,082,656.33/1,354.08
  6. Step 6: Final answer
    x = 1,538.06

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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.