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Finding the Fourth Proportional to 2,322.65, 3,478.71 and 1,228.34

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Solution

The fourth proportional to 2,322.65, 3,478.71 and 1,228.34 is: 1,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.65 : 3,478.71 = 1,228.34 : x
  2. Step 2: Convert to fraction form
    2,322.65/3,478.71 = 1,228.34/x
  3. Step 3: Cross multiply
    2,322.65x = 3,478.71 × 1,228.34
  4. Step 4: Simplify right side
    2,322.65x = 4,273,038.64
  5. Step 5: Solve for x
    x = 4,273,038.64/2,322.65
  6. Step 6: Final answer
    x = 1,839.73

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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.