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Finding the Fourth Proportional to 2,387.99, 3,580.82 and 828.08

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Solution

The fourth proportional to 2,387.99, 3,580.82 and 828.08 is: 1,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.99 : 3,580.82 = 828.08 : x
  2. Step 2: Convert to fraction form
    2,387.99/3,580.82 = 828.08/x
  3. Step 3: Cross multiply
    2,387.99x = 3,580.82 × 828.08
  4. Step 4: Simplify right side
    2,387.99x = 2,965,199.91
  5. Step 5: Solve for x
    x = 2,965,199.91/2,387.99
  6. Step 6: Final answer
    x = 1,241.72

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1.5x scale

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.