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Finding the Fourth Proportional to 1,524.98, 2,104.53 and 895.30

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Solution

The fourth proportional to 1,524.98, 2,104.53 and 895.30 is: 1,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.98 : 2,104.53 = 895.30 : x
  2. Step 2: Convert to fraction form
    1,524.98/2,104.53 = 895.30/x
  3. Step 3: Cross multiply
    1,524.98x = 2,104.53 × 895.30
  4. Step 4: Simplify right side
    1,524.98x = 1,884,193.96
  5. Step 5: Solve for x
    x = 1,884,193.96/1,524.98
  6. Step 6: Final answer
    x = 1,235.56

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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.