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Finding the Fourth Proportional to 1,606.05, 2,214.70 and 1,133.73

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Solution

The fourth proportional to 1,606.05, 2,214.70 and 1,133.73 is: 1,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.05 : 2,214.70 = 1,133.73 : x
  2. Step 2: Convert to fraction form
    1,606.05/2,214.70 = 1,133.73/x
  3. Step 3: Cross multiply
    1,606.05x = 2,214.70 × 1,133.73
  4. Step 4: Simplify right side
    1,606.05x = 2,510,869.00
  5. Step 5: Solve for x
    x = 2,510,869.00/1,606.05
  6. Step 6: Final answer
    x = 1,563.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.