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Finding the Fourth Proportional to 2,559.68, 3,843.36 and 1,023.68

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Solution

The fourth proportional to 2,559.68, 3,843.36 and 1,023.68 is: 1,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.68 : 3,843.36 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    2,559.68/3,843.36 = 1,023.68/x
  3. Step 3: Cross multiply
    2,559.68x = 3,843.36 × 1,023.68
  4. Step 4: Simplify right side
    2,559.68x = 3,934,370.76
  5. Step 5: Solve for x
    x = 3,934,370.76/2,559.68
  6. Step 6: Final answer
    x = 1,537.06

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1.5x scale

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.