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Finding the Fourth Proportional to 2,303.58, 3,453.63 and 1,191.80

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Solution

The fourth proportional to 2,303.58, 3,453.63 and 1,191.80 is: 1,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.58 : 3,453.63 = 1,191.80 : x
  2. Step 2: Convert to fraction form
    2,303.58/3,453.63 = 1,191.80/x
  3. Step 3: Cross multiply
    2,303.58x = 3,453.63 × 1,191.80
  4. Step 4: Simplify right side
    2,303.58x = 4,116,044.87
  5. Step 5: Solve for x
    x = 4,116,044.87/2,303.58
  6. Step 6: Final answer
    x = 1,786.80

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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.