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Finding the Fourth Proportional to 2,950.48, 4,071.63 and 1,831.87

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Solution

The fourth proportional to 2,950.48, 4,071.63 and 1,831.87 is: 2,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.48 : 4,071.63 = 1,831.87 : x
  2. Step 2: Convert to fraction form
    2,950.48/4,071.63 = 1,831.87/x
  3. Step 3: Cross multiply
    2,950.48x = 4,071.63 × 1,831.87
  4. Step 4: Simplify right side
    2,950.48x = 7,458,696.85
  5. Step 5: Solve for x
    x = 7,458,696.85/2,950.48
  6. Step 6: Final answer
    x = 2,527.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.