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Finding the Fourth Proportional to 3,043.16, 4,564.21 and 851.37

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Solution

The fourth proportional to 3,043.16, 4,564.21 and 851.37 is: 1,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.16 : 4,564.21 = 851.37 : x
  2. Step 2: Convert to fraction form
    3,043.16/4,564.21 = 851.37/x
  3. Step 3: Cross multiply
    3,043.16x = 4,564.21 × 851.37
  4. Step 4: Simplify right side
    3,043.16x = 3,885,831.47
  5. Step 5: Solve for x
    x = 3,885,831.47/3,043.16
  6. Step 6: Final answer
    x = 1,276.91

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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.