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Finding the Fourth Proportional to 2,559.76, 3,523.74 and 1,895.36

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Solution

The fourth proportional to 2,559.76, 3,523.74 and 1,895.36 is: 2,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.76 : 3,523.74 = 1,895.36 : x
  2. Step 2: Convert to fraction form
    2,559.76/3,523.74 = 1,895.36/x
  3. Step 3: Cross multiply
    2,559.76x = 3,523.74 × 1,895.36
  4. Step 4: Simplify right side
    2,559.76x = 6,678,755.85
  5. Step 5: Solve for x
    x = 6,678,755.85/2,559.76
  6. Step 6: Final answer
    x = 2,609.13

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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.