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Finding the Fourth Proportional to 1,604.34, 2,214.01 and 941.20

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Solution

The fourth proportional to 1,604.34, 2,214.01 and 941.20 is: 1,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.34 : 2,214.01 = 941.20 : x
  2. Step 2: Convert to fraction form
    1,604.34/2,214.01 = 941.20/x
  3. Step 3: Cross multiply
    1,604.34x = 2,214.01 × 941.20
  4. Step 4: Simplify right side
    1,604.34x = 2,083,829.01
  5. Step 5: Solve for x
    x = 2,083,829.01/1,604.34
  6. Step 6: Final answer
    x = 1,298.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.