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Finding the Fourth Proportional to 2,554.40, 3,831.62 and 823.02

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Solution

The fourth proportional to 2,554.40, 3,831.62 and 823.02 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.40 : 3,831.62 = 823.02 : x
  2. Step 2: Convert to fraction form
    2,554.40/3,831.62 = 823.02/x
  3. Step 3: Cross multiply
    2,554.40x = 3,831.62 × 823.02
  4. Step 4: Simplify right side
    2,554.40x = 3,153,495.78
  5. Step 5: Solve for x
    x = 3,153,495.78/2,554.40
  6. Step 6: Final answer
    x = 1,234.54

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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.