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Finding the Fourth Proportional to 2,549.09, 3,823.47 and 817.58

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Solution

The fourth proportional to 2,549.09, 3,823.47 and 817.58 is: 1,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.09 : 3,823.47 = 817.58 : x
  2. Step 2: Convert to fraction form
    2,549.09/3,823.47 = 817.58/x
  3. Step 3: Cross multiply
    2,549.09x = 3,823.47 × 817.58
  4. Step 4: Simplify right side
    2,549.09x = 3,125,992.60
  5. Step 5: Solve for x
    x = 3,125,992.60/2,549.09
  6. Step 6: Final answer
    x = 1,226.32

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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.