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Finding the Fourth Proportional to 2,562.16, 3,532.32 and 1,676.56

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Solution

The fourth proportional to 2,562.16, 3,532.32 and 1,676.56 is: 2,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.16 : 3,532.32 = 1,676.56 : x
  2. Step 2: Convert to fraction form
    2,562.16/3,532.32 = 1,676.56/x
  3. Step 3: Cross multiply
    2,562.16x = 3,532.32 × 1,676.56
  4. Step 4: Simplify right side
    2,562.16x = 5,922,146.42
  5. Step 5: Solve for x
    x = 5,922,146.42/2,562.16
  6. Step 6: Final answer
    x = 2,311.39

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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.