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Finding the Fourth Proportional to 1,594.11, 2,199.74 and 885.83

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Solution

The fourth proportional to 1,594.11, 2,199.74 and 885.83 is: 1,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.11 : 2,199.74 = 885.83 : x
  2. Step 2: Convert to fraction form
    1,594.11/2,199.74 = 885.83/x
  3. Step 3: Cross multiply
    1,594.11x = 2,199.74 × 885.83
  4. Step 4: Simplify right side
    1,594.11x = 1,948,595.68
  5. Step 5: Solve for x
    x = 1,948,595.68/1,594.11
  6. Step 6: Final answer
    x = 1,222.37

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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.