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Finding the Fourth Proportional to 1,594.57, 2,200.50 and 895.95

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Solution

The fourth proportional to 1,594.57, 2,200.50 and 895.95 is: 1,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.57 : 2,200.50 = 895.95 : x
  2. Step 2: Convert to fraction form
    1,594.57/2,200.50 = 895.95/x
  3. Step 3: Cross multiply
    1,594.57x = 2,200.50 × 895.95
  4. Step 4: Simplify right side
    1,594.57x = 1,971,537.98
  5. Step 5: Solve for x
    x = 1,971,537.98/1,594.57
  6. Step 6: Final answer
    x = 1,236.41

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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.