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Finding the Fourth Proportional to 2,519.44, 3,475.32 and 1,858

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Solution

The fourth proportional to 2,519.44, 3,475.32 and 1,858 is: 2,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.44 : 3,475.32 = 1,858 : x
  2. Step 2: Convert to fraction form
    2,519.44/3,475.32 = 1,858/x
  3. Step 3: Cross multiply
    2,519.44x = 3,475.32 × 1,858
  4. Step 4: Simplify right side
    2,519.44x = 6,457,144.56
  5. Step 5: Solve for x
    x = 6,457,144.56/2,519.44
  6. Step 6: Final answer
    x = 2,562.93

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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.