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Finding the Fourth Proportional to 1,602.33, 2,403.81 and 821.94

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Solution

The fourth proportional to 1,602.33, 2,403.81 and 821.94 is: 1,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.33 : 2,403.81 = 821.94 : x
  2. Step 2: Convert to fraction form
    1,602.33/2,403.81 = 821.94/x
  3. Step 3: Cross multiply
    1,602.33x = 2,403.81 × 821.94
  4. Step 4: Simplify right side
    1,602.33x = 1,975,787.59
  5. Step 5: Solve for x
    x = 1,975,787.59/1,602.33
  6. Step 6: Final answer
    x = 1,233.07

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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.