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Finding the Fourth Proportional to 2,555.96, 3,831.12 and 1,457.90

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Solution

The fourth proportional to 2,555.96, 3,831.12 and 1,457.90 is: 2,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.96 : 3,831.12 = 1,457.90 : x
  2. Step 2: Convert to fraction form
    2,555.96/3,831.12 = 1,457.90/x
  3. Step 3: Cross multiply
    2,555.96x = 3,831.12 × 1,457.90
  4. Step 4: Simplify right side
    2,555.96x = 5,585,389.85
  5. Step 5: Solve for x
    x = 5,585,389.85/2,555.96
  6. Step 6: Final answer
    x = 2,185.24

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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.