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Finding the Fourth Proportional to 2,109.75, 2,911.90 and 1,225.50

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Solution

The fourth proportional to 2,109.75, 2,911.90 and 1,225.50 is: 1,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.75 : 2,911.90 = 1,225.50 : x
  2. Step 2: Convert to fraction form
    2,109.75/2,911.90 = 1,225.50/x
  3. Step 3: Cross multiply
    2,109.75x = 2,911.90 × 1,225.50
  4. Step 4: Simplify right side
    2,109.75x = 3,568,533.45
  5. Step 5: Solve for x
    x = 3,568,533.45/2,109.75
  6. Step 6: Final answer
    x = 1,691.45

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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.