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Finding the Fourth Proportional to 2,554.08, 3,831.18 and 822.72

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Solution

The fourth proportional to 2,554.08, 3,831.18 and 822.72 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.08 : 3,831.18 = 822.72 : x
  2. Step 2: Convert to fraction form
    2,554.08/3,831.18 = 822.72/x
  3. Step 3: Cross multiply
    2,554.08x = 3,831.18 × 822.72
  4. Step 4: Simplify right side
    2,554.08x = 3,151,988.41
  5. Step 5: Solve for x
    x = 3,151,988.41/2,554.08
  6. Step 6: Final answer
    x = 1,234.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.