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Finding the Fourth Proportional to 1,594.39, 2,200.23 and 895.90

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Solution

The fourth proportional to 1,594.39, 2,200.23 and 895.90 is: 1,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.39 : 2,200.23 = 895.90 : x
  2. Step 2: Convert to fraction form
    1,594.39/2,200.23 = 895.90/x
  3. Step 3: Cross multiply
    1,594.39x = 2,200.23 × 895.90
  4. Step 4: Simplify right side
    1,594.39x = 1,971,186.06
  5. Step 5: Solve for x
    x = 1,971,186.06/1,594.39
  6. Step 6: Final answer
    x = 1,236.33

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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.