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Finding the Fourth Proportional to 1,606.50, 2,409.84 and 681.93

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Solution

The fourth proportional to 1,606.50, 2,409.84 and 681.93 is: 1,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.50 : 2,409.84 = 681.93 : x
  2. Step 2: Convert to fraction form
    1,606.50/2,409.84 = 681.93/x
  3. Step 3: Cross multiply
    1,606.50x = 2,409.84 × 681.93
  4. Step 4: Simplify right side
    1,606.50x = 1,643,342.19
  5. Step 5: Solve for x
    x = 1,643,342.19/1,606.50
  6. Step 6: Final answer
    x = 1,022.93

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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.