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Finding the Fourth Proportional to 1,467.36, 2,196.45 and 946.67

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Solution

The fourth proportional to 1,467.36, 2,196.45 and 946.67 is: 1,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.36 : 2,196.45 = 946.67 : x
  2. Step 2: Convert to fraction form
    1,467.36/2,196.45 = 946.67/x
  3. Step 3: Cross multiply
    1,467.36x = 2,196.45 × 946.67
  4. Step 4: Simplify right side
    1,467.36x = 2,079,302.34
  5. Step 5: Solve for x
    x = 2,079,302.34/1,467.36
  6. Step 6: Final answer
    x = 1,417.04

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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.