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Finding the Fourth Proportional to 1,764.26, 2,645.40 and 1,559.24

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Solution

The fourth proportional to 1,764.26, 2,645.40 and 1,559.24 is: 2,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.26 : 2,645.40 = 1,559.24 : x
  2. Step 2: Convert to fraction form
    1,764.26/2,645.40 = 1,559.24/x
  3. Step 3: Cross multiply
    1,764.26x = 2,645.40 × 1,559.24
  4. Step 4: Simplify right side
    1,764.26x = 4,124,813.50
  5. Step 5: Solve for x
    x = 4,124,813.50/1,764.26
  6. Step 6: Final answer
    x = 2,337.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.