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Finding the Fourth Proportional to 1,873.96, 2,809.59 and 1,171.42

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Solution

The fourth proportional to 1,873.96, 2,809.59 and 1,171.42 is: 1,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.96 : 2,809.59 = 1,171.42 : x
  2. Step 2: Convert to fraction form
    1,873.96/2,809.59 = 1,171.42/x
  3. Step 3: Cross multiply
    1,873.96x = 2,809.59 × 1,171.42
  4. Step 4: Simplify right side
    1,873.96x = 3,291,209.92
  5. Step 5: Solve for x
    x = 3,291,209.92/1,873.96
  6. Step 6: Final answer
    x = 1,756.29

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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.