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Finding the Fourth Proportional to 2,554.12, 3,831.30 and 705.20

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Solution

The fourth proportional to 2,554.12, 3,831.30 and 705.20 is: 1,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.12 : 3,831.30 = 705.20 : x
  2. Step 2: Convert to fraction form
    2,554.12/3,831.30 = 705.20/x
  3. Step 3: Cross multiply
    2,554.12x = 3,831.30 × 705.20
  4. Step 4: Simplify right side
    2,554.12x = 2,701,832.76
  5. Step 5: Solve for x
    x = 2,701,832.76/2,554.12
  6. Step 6: Final answer
    x = 1,057.83

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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.