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Finding the Fourth Proportional to 2,772.62, 4,147.54 and 2,529.32

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Solution

The fourth proportional to 2,772.62, 4,147.54 and 2,529.32 is: 3,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.62 : 4,147.54 = 2,529.32 : x
  2. Step 2: Convert to fraction form
    2,772.62/4,147.54 = 2,529.32/x
  3. Step 3: Cross multiply
    2,772.62x = 4,147.54 × 2,529.32
  4. Step 4: Simplify right side
    2,772.62x = 10,490,428.81
  5. Step 5: Solve for x
    x = 10,490,428.81/2,772.62
  6. Step 6: Final answer
    x = 3,783.58

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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.