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Finding the Fourth Proportional to 2,303.30, 3,178.19 and 1,294.81

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Solution

The fourth proportional to 2,303.30, 3,178.19 and 1,294.81 is: 1,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.30 : 3,178.19 = 1,294.81 : x
  2. Step 2: Convert to fraction form
    2,303.30/3,178.19 = 1,294.81/x
  3. Step 3: Cross multiply
    2,303.30x = 3,178.19 × 1,294.81
  4. Step 4: Simplify right side
    2,303.30x = 4,115,136.30
  5. Step 5: Solve for x
    x = 4,115,136.30/2,303.30
  6. Step 6: Final answer
    x = 1,786.63

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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.