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Finding the Fourth Proportional to 2,467.62, 3,405.06 and 1,472.74

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Solution

The fourth proportional to 2,467.62, 3,405.06 and 1,472.74 is: 2,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.62 : 3,405.06 = 1,472.74 : x
  2. Step 2: Convert to fraction form
    2,467.62/3,405.06 = 1,472.74/x
  3. Step 3: Cross multiply
    2,467.62x = 3,405.06 × 1,472.74
  4. Step 4: Simplify right side
    2,467.62x = 5,014,768.06
  5. Step 5: Solve for x
    x = 5,014,768.06/2,467.62
  6. Step 6: Final answer
    x = 2,032.23

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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.