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Finding the Fourth Proportional to 1,525.05, 2,104.88 and 895.95

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Solution

The fourth proportional to 1,525.05, 2,104.88 and 895.95 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.05 : 2,104.88 = 895.95 : x
  2. Step 2: Convert to fraction form
    1,525.05/2,104.88 = 895.95/x
  3. Step 3: Cross multiply
    1,525.05x = 2,104.88 × 895.95
  4. Step 4: Simplify right side
    1,525.05x = 1,885,862.76
  5. Step 5: Solve for x
    x = 1,885,862.76/1,525.05
  6. Step 6: Final answer
    x = 1,236.59

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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.