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Finding the Fourth Proportional to 3,218.30, 4,831.35 and 2,048.30

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Solution

The fourth proportional to 3,218.30, 4,831.35 and 2,048.30 is: 3,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.30 : 4,831.35 = 2,048.30 : x
  2. Step 2: Convert to fraction form
    3,218.30/4,831.35 = 2,048.30/x
  3. Step 3: Cross multiply
    3,218.30x = 4,831.35 × 2,048.30
  4. Step 4: Simplify right side
    3,218.30x = 9,896,054.21
  5. Step 5: Solve for x
    x = 9,896,054.21/3,218.30
  6. Step 6: Final answer
    x = 3,074.93

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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.