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Finding the Fourth Proportional to 2,549.18, 3,823.74 and 817.80

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Solution

The fourth proportional to 2,549.18, 3,823.74 and 817.80 is: 1,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.18 : 3,823.74 = 817.80 : x
  2. Step 2: Convert to fraction form
    2,549.18/3,823.74 = 817.80/x
  3. Step 3: Cross multiply
    2,549.18x = 3,823.74 × 817.80
  4. Step 4: Simplify right side
    2,549.18x = 3,127,054.57
  5. Step 5: Solve for x
    x = 3,127,054.57/2,549.18
  6. Step 6: Final answer
    x = 1,226.69

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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.