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Finding the Fourth Proportional to 1,604.34, 2,214.12 and 941.25

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Solution

The fourth proportional to 1,604.34, 2,214.12 and 941.25 is: 1,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.34 : 2,214.12 = 941.25 : x
  2. Step 2: Convert to fraction form
    1,604.34/2,214.12 = 941.25/x
  3. Step 3: Cross multiply
    1,604.34x = 2,214.12 × 941.25
  4. Step 4: Simplify right side
    1,604.34x = 2,084,040.45
  5. Step 5: Solve for x
    x = 2,084,040.45/1,604.34
  6. Step 6: Final answer
    x = 1,299.00

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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.