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Finding the Fourth Proportional to 2,109.75, 2,911.46 and 1,152.68

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Solution

The fourth proportional to 2,109.75, 2,911.46 and 1,152.68 is: 1,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.75 : 2,911.46 = 1,152.68 : x
  2. Step 2: Convert to fraction form
    2,109.75/2,911.46 = 1,152.68/x
  3. Step 3: Cross multiply
    2,109.75x = 2,911.46 × 1,152.68
  4. Step 4: Simplify right side
    2,109.75x = 3,355,964.27
  5. Step 5: Solve for x
    x = 3,355,964.27/2,109.75
  6. Step 6: Final answer
    x = 1,590.69

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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.