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Finding the Fourth Proportional to 2,582.47, 3,873.64 and 827.50

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Solution

The fourth proportional to 2,582.47, 3,873.64 and 827.50 is: 1,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.47 : 3,873.64 = 827.50 : x
  2. Step 2: Convert to fraction form
    2,582.47/3,873.64 = 827.50/x
  3. Step 3: Cross multiply
    2,582.47x = 3,873.64 × 827.50
  4. Step 4: Simplify right side
    2,582.47x = 3,205,437.10
  5. Step 5: Solve for x
    x = 3,205,437.10/2,582.47
  6. Step 6: Final answer
    x = 1,241.23

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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.