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Finding the Fourth Proportional to 2,835.62, 4,256.14 and 1,191.74

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Solution

The fourth proportional to 2,835.62, 4,256.14 and 1,191.74 is: 1,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.62 : 4,256.14 = 1,191.74 : x
  2. Step 2: Convert to fraction form
    2,835.62/4,256.14 = 1,191.74/x
  3. Step 3: Cross multiply
    2,835.62x = 4,256.14 × 1,191.74
  4. Step 4: Simplify right side
    2,835.62x = 5,072,212.28
  5. Step 5: Solve for x
    x = 5,072,212.28/2,835.62
  6. Step 6: Final answer
    x = 1,788.75

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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.