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Finding the Fourth Proportional to 2,172.04, 3,258.67 and 874.42

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Solution

The fourth proportional to 2,172.04, 3,258.67 and 874.42 is: 1,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.04 : 3,258.67 = 874.42 : x
  2. Step 2: Convert to fraction form
    2,172.04/3,258.67 = 874.42/x
  3. Step 3: Cross multiply
    2,172.04x = 3,258.67 × 874.42
  4. Step 4: Simplify right side
    2,172.04x = 2,849,446.22
  5. Step 5: Solve for x
    x = 2,849,446.22/2,172.04
  6. Step 6: Final answer
    x = 1,311.88

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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.