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Finding the Fourth Proportional to 1,559, 2,151.52 and 895.92

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Solution

The fourth proportional to 1,559, 2,151.52 and 895.92 is: 1,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559 : 2,151.52 = 895.92 : x
  2. Step 2: Convert to fraction form
    1,559/2,151.52 = 895.92/x
  3. Step 3: Cross multiply
    1,559x = 2,151.52 × 895.92
  4. Step 4: Simplify right side
    1,559x = 1,927,589.80
  5. Step 5: Solve for x
    x = 1,927,589.80/1,559
  6. Step 6: Final answer
    x = 1,236.43

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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.