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Finding the Fourth Proportional to 2,653.48, 3,976.75 and 1,091.69

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Solution

The fourth proportional to 2,653.48, 3,976.75 and 1,091.69 is: 1,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.48 : 3,976.75 = 1,091.69 : x
  2. Step 2: Convert to fraction form
    2,653.48/3,976.75 = 1,091.69/x
  3. Step 3: Cross multiply
    2,653.48x = 3,976.75 × 1,091.69
  4. Step 4: Simplify right side
    2,653.48x = 4,341,385.42
  5. Step 5: Solve for x
    x = 4,341,385.42/2,653.48
  6. Step 6: Final answer
    x = 1,636.11

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