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Finding the Fourth Proportional to 2,581.56, 3,875.22 and 1,429.56

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Solution

The fourth proportional to 2,581.56, 3,875.22 and 1,429.56 is: 2,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.56 : 3,875.22 = 1,429.56 : x
  2. Step 2: Convert to fraction form
    2,581.56/3,875.22 = 1,429.56/x
  3. Step 3: Cross multiply
    2,581.56x = 3,875.22 × 1,429.56
  4. Step 4: Simplify right side
    2,581.56x = 5,539,859.50
  5. Step 5: Solve for x
    x = 5,539,859.50/2,581.56
  6. Step 6: Final answer
    x = 2,145.93

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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.