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Finding the Fourth Proportional to 1,604.71, 2,409.81 and 992.04

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Solution

The fourth proportional to 1,604.71, 2,409.81 and 992.04 is: 1,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.71 : 2,409.81 = 992.04 : x
  2. Step 2: Convert to fraction form
    1,604.71/2,409.81 = 992.04/x
  3. Step 3: Cross multiply
    1,604.71x = 2,409.81 × 992.04
  4. Step 4: Simplify right side
    1,604.71x = 2,390,627.91
  5. Step 5: Solve for x
    x = 2,390,627.91/1,604.71
  6. Step 6: Final answer
    x = 1,489.76

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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.