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Finding the Fourth Proportional to 2,831.58, 3,903.66 and 2,357.73

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Solution

The fourth proportional to 2,831.58, 3,903.66 and 2,357.73 is: 3,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.58 : 3,903.66 = 2,357.73 : x
  2. Step 2: Convert to fraction form
    2,831.58/3,903.66 = 2,357.73/x
  3. Step 3: Cross multiply
    2,831.58x = 3,903.66 × 2,357.73
  4. Step 4: Simplify right side
    2,831.58x = 9,203,776.29
  5. Step 5: Solve for x
    x = 9,203,776.29/2,831.58
  6. Step 6: Final answer
    x = 3,250.40

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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.