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Finding the Fourth Proportional to 2,257.56, 3,114.72 and 1,559.34

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Solution

The fourth proportional to 2,257.56, 3,114.72 and 1,559.34 is: 2,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.56 : 3,114.72 = 1,559.34 : x
  2. Step 2: Convert to fraction form
    2,257.56/3,114.72 = 1,559.34/x
  3. Step 3: Cross multiply
    2,257.56x = 3,114.72 × 1,559.34
  4. Step 4: Simplify right side
    2,257.56x = 4,856,907.48
  5. Step 5: Solve for x
    x = 4,856,907.48/2,257.56
  6. Step 6: Final answer
    x = 2,151.40

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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.