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Finding the Fourth Proportional to 2,303.03, 3,178.14 and 1,406.46

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Solution

The fourth proportional to 2,303.03, 3,178.14 and 1,406.46 is: 1,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.03 : 3,178.14 = 1,406.46 : x
  2. Step 2: Convert to fraction form
    2,303.03/3,178.14 = 1,406.46/x
  3. Step 3: Cross multiply
    2,303.03x = 3,178.14 × 1,406.46
  4. Step 4: Simplify right side
    2,303.03x = 4,469,933.43
  5. Step 5: Solve for x
    x = 4,469,933.43/2,303.03
  6. Step 6: Final answer
    x = 1,940.89

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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.