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Finding the Fourth Proportional to 1,605.69, 2,409.48 and 681.18

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Solution

The fourth proportional to 1,605.69, 2,409.48 and 681.18 is: 1,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.69 : 2,409.48 = 681.18 : x
  2. Step 2: Convert to fraction form
    1,605.69/2,409.48 = 681.18/x
  3. Step 3: Cross multiply
    1,605.69x = 2,409.48 × 681.18
  4. Step 4: Simplify right side
    1,605.69x = 1,641,289.59
  5. Step 5: Solve for x
    x = 1,641,289.59/1,605.69
  6. Step 6: Final answer
    x = 1,022.17

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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.