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Finding the Fourth Proportional to 2,582.64, 3,873.96 and 634.86

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Solution

The fourth proportional to 2,582.64, 3,873.96 and 634.86 is: 952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.64 : 3,873.96 = 634.86 : x
  2. Step 2: Convert to fraction form
    2,582.64/3,873.96 = 634.86/x
  3. Step 3: Cross multiply
    2,582.64x = 3,873.96 × 634.86
  4. Step 4: Simplify right side
    2,582.64x = 2,459,422.25
  5. Step 5: Solve for x
    x = 2,459,422.25/2,582.64
  6. Step 6: Final answer
    x = 952.29

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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.