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Finding the Fourth Proportional to 2,354.90, 3,249.82 and 1,292.77

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Solution

The fourth proportional to 2,354.90, 3,249.82 and 1,292.77 is: 1,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.90 : 3,249.82 = 1,292.77 : x
  2. Step 2: Convert to fraction form
    2,354.90/3,249.82 = 1,292.77/x
  3. Step 3: Cross multiply
    2,354.90x = 3,249.82 × 1,292.77
  4. Step 4: Simplify right side
    2,354.90x = 4,201,260.89
  5. Step 5: Solve for x
    x = 4,201,260.89/2,354.90
  6. Step 6: Final answer
    x = 1,784.05

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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.