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Finding the Fourth Proportional to 2,246.46, 3,369.72 and 948.84

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Solution

The fourth proportional to 2,246.46, 3,369.72 and 948.84 is: 1,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.46 : 3,369.72 = 948.84 : x
  2. Step 2: Convert to fraction form
    2,246.46/3,369.72 = 948.84/x
  3. Step 3: Cross multiply
    2,246.46x = 3,369.72 × 948.84
  4. Step 4: Simplify right side
    2,246.46x = 3,197,325.12
  5. Step 5: Solve for x
    x = 3,197,325.12/2,246.46
  6. Step 6: Final answer
    x = 1,423.27

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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.