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Finding the Fourth Proportional to 2,832.76, 3,907.62 and 1,771.24

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Solution

The fourth proportional to 2,832.76, 3,907.62 and 1,771.24 is: 2,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.76 : 3,907.62 = 1,771.24 : x
  2. Step 2: Convert to fraction form
    2,832.76/3,907.62 = 1,771.24/x
  3. Step 3: Cross multiply
    2,832.76x = 3,907.62 × 1,771.24
  4. Step 4: Simplify right side
    2,832.76x = 6,921,332.85
  5. Step 5: Solve for x
    x = 6,921,332.85/2,832.76
  6. Step 6: Final answer
    x = 2,443.32

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1.5x scale

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.