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Finding the Fourth Proportional to 1,812.52, 2,714.66 and 1,771.52

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Solution

The fourth proportional to 1,812.52, 2,714.66 and 1,771.52 is: 2,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.52 : 2,714.66 = 1,771.52 : x
  2. Step 2: Convert to fraction form
    1,812.52/2,714.66 = 1,771.52/x
  3. Step 3: Cross multiply
    1,812.52x = 2,714.66 × 1,771.52
  4. Step 4: Simplify right side
    1,812.52x = 4,809,052.05
  5. Step 5: Solve for x
    x = 4,809,052.05/1,812.52
  6. Step 6: Final answer
    x = 2,653.24

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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.