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Finding the Fourth Proportional to 1,467.32, 2,202.28 and 737.30

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Solution

The fourth proportional to 1,467.32, 2,202.28 and 737.30 is: 1,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.32 : 2,202.28 = 737.30 : x
  2. Step 2: Convert to fraction form
    1,467.32/2,202.28 = 737.30/x
  3. Step 3: Cross multiply
    1,467.32x = 2,202.28 × 737.30
  4. Step 4: Simplify right side
    1,467.32x = 1,623,741.04
  5. Step 5: Solve for x
    x = 1,623,741.04/1,467.32
  6. Step 6: Final answer
    x = 1,106.60

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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.