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Finding the Fourth Proportional to 1,604.50, 2,214.80 and 941.91

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Solution

The fourth proportional to 1,604.50, 2,214.80 and 941.91 is: 1,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.50 : 2,214.80 = 941.91 : x
  2. Step 2: Convert to fraction form
    1,604.50/2,214.80 = 941.91/x
  3. Step 3: Cross multiply
    1,604.50x = 2,214.80 × 941.91
  4. Step 4: Simplify right side
    1,604.50x = 2,086,126.48
  5. Step 5: Solve for x
    x = 2,086,126.48/1,604.50
  6. Step 6: Final answer
    x = 1,300.17

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