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Finding the Fourth Proportional to 1,605.69, 2,409 and 681.39

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Solution

The fourth proportional to 1,605.69, 2,409 and 681.39 is: 1,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.69 : 2,409 = 681.39 : x
  2. Step 2: Convert to fraction form
    1,605.69/2,409 = 681.39/x
  3. Step 3: Cross multiply
    1,605.69x = 2,409 × 681.39
  4. Step 4: Simplify right side
    1,605.69x = 1,641,468.51
  5. Step 5: Solve for x
    x = 1,641,468.51/1,605.69
  6. Step 6: Final answer
    x = 1,022.28

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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.