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Finding the Fourth Proportional to 1,461.05, 2,192.09 and 912.60

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Solution

The fourth proportional to 1,461.05, 2,192.09 and 912.60 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.05 : 2,192.09 = 912.60 : x
  2. Step 2: Convert to fraction form
    1,461.05/2,192.09 = 912.60/x
  3. Step 3: Cross multiply
    1,461.05x = 2,192.09 × 912.60
  4. Step 4: Simplify right side
    1,461.05x = 2,000,485.81
  5. Step 5: Solve for x
    x = 2,000,485.81/1,461.05
  6. Step 6: Final answer
    x = 1,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.