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Finding the Fourth Proportional to 2,831.08, 3,907.29 and 2,358.31

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Solution

The fourth proportional to 2,831.08, 3,907.29 and 2,358.31 is: 3,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.08 : 3,907.29 = 2,358.31 : x
  2. Step 2: Convert to fraction form
    2,831.08/3,907.29 = 2,358.31/x
  3. Step 3: Cross multiply
    2,831.08x = 3,907.29 × 2,358.31
  4. Step 4: Simplify right side
    2,831.08x = 9,214,601.08
  5. Step 5: Solve for x
    x = 9,214,601.08/2,831.08
  6. Step 6: Final answer
    x = 3,254.80

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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.