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Finding the Fourth Proportional to 3,112.64, 4,646.18 and 2,743.60

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Solution

The fourth proportional to 3,112.64, 4,646.18 and 2,743.60 is: 4,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.64 : 4,646.18 = 2,743.60 : x
  2. Step 2: Convert to fraction form
    3,112.64/4,646.18 = 2,743.60/x
  3. Step 3: Cross multiply
    3,112.64x = 4,646.18 × 2,743.60
  4. Step 4: Simplify right side
    3,112.64x = 12,747,259.45
  5. Step 5: Solve for x
    x = 12,747,259.45/3,112.64
  6. Step 6: Final answer
    x = 4,095.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.