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Finding the Fourth Proportional to 1,605.51, 2,409.19 and 681.01

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Solution

The fourth proportional to 1,605.51, 2,409.19 and 681.01 is: 1,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.51 : 2,409.19 = 681.01 : x
  2. Step 2: Convert to fraction form
    1,605.51/2,409.19 = 681.01/x
  3. Step 3: Cross multiply
    1,605.51x = 2,409.19 × 681.01
  4. Step 4: Simplify right side
    1,605.51x = 1,640,674.76
  5. Step 5: Solve for x
    x = 1,640,674.76/1,605.51
  6. Step 6: Final answer
    x = 1,021.90

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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.