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Finding the Fourth Proportional to 1,605.09, 2,214.40 and 941.70

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Solution

The fourth proportional to 1,605.09, 2,214.40 and 941.70 is: 1,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.09 : 2,214.40 = 941.70 : x
  2. Step 2: Convert to fraction form
    1,605.09/2,214.40 = 941.70/x
  3. Step 3: Cross multiply
    1,605.09x = 2,214.40 × 941.70
  4. Step 4: Simplify right side
    1,605.09x = 2,085,300.48
  5. Step 5: Solve for x
    x = 2,085,300.48/1,605.09
  6. Step 6: Final answer
    x = 1,299.18

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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.