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Finding the Fourth Proportional to 1,525.54, 2,105.16 and 895.97

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Solution

The fourth proportional to 1,525.54, 2,105.16 and 895.97 is: 1,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.54 : 2,105.16 = 895.97 : x
  2. Step 2: Convert to fraction form
    1,525.54/2,105.16 = 895.97/x
  3. Step 3: Cross multiply
    1,525.54x = 2,105.16 × 895.97
  4. Step 4: Simplify right side
    1,525.54x = 1,886,160.21
  5. Step 5: Solve for x
    x = 1,886,160.21/1,525.54
  6. Step 6: Final answer
    x = 1,236.39

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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.