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Finding the Fourth Proportional to 2,559.96, 3,532.72 and 1,425.62

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Solution

The fourth proportional to 2,559.96, 3,532.72 and 1,425.62 is: 1,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.96 : 3,532.72 = 1,425.62 : x
  2. Step 2: Convert to fraction form
    2,559.96/3,532.72 = 1,425.62/x
  3. Step 3: Cross multiply
    2,559.96x = 3,532.72 × 1,425.62
  4. Step 4: Simplify right side
    2,559.96x = 5,036,316.29
  5. Step 5: Solve for x
    x = 5,036,316.29/2,559.96
  6. Step 6: Final answer
    x = 1,967.34

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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.