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Finding the Fourth Proportional to 2,582.94, 3,874.02 and 828.15

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Solution

The fourth proportional to 2,582.94, 3,874.02 and 828.15 is: 1,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.94 : 3,874.02 = 828.15 : x
  2. Step 2: Convert to fraction form
    2,582.94/3,874.02 = 828.15/x
  3. Step 3: Cross multiply
    2,582.94x = 3,874.02 × 828.15
  4. Step 4: Simplify right side
    2,582.94x = 3,208,269.66
  5. Step 5: Solve for x
    x = 3,208,269.66/2,582.94
  6. Step 6: Final answer
    x = 1,242.10

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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.