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Finding the Fourth Proportional to 1,467.76, 2,201.64 and 372.21

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Solution

The fourth proportional to 1,467.76, 2,201.64 and 372.21 is: 558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.76 : 2,201.64 = 372.21 : x
  2. Step 2: Convert to fraction form
    1,467.76/2,201.64 = 372.21/x
  3. Step 3: Cross multiply
    1,467.76x = 2,201.64 × 372.21
  4. Step 4: Simplify right side
    1,467.76x = 819,472.42
  5. Step 5: Solve for x
    x = 819,472.42/1,467.76
  6. Step 6: Final answer
    x = 558.32

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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.