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Finding the Fourth Proportional to 3,046.16, 4,203.88 and 2,051.60

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Solution

The fourth proportional to 3,046.16, 4,203.88 and 2,051.60 is: 2,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.16 : 4,203.88 = 2,051.60 : x
  2. Step 2: Convert to fraction form
    3,046.16/4,203.88 = 2,051.60/x
  3. Step 3: Cross multiply
    3,046.16x = 4,203.88 × 2,051.60
  4. Step 4: Simplify right side
    3,046.16x = 8,624,680.21
  5. Step 5: Solve for x
    x = 8,624,680.21/3,046.16
  6. Step 6: Final answer
    x = 2,831.33

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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.