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Finding the Fourth Proportional to 2,995.60, 4,135.66 and 2,281.84

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Solution

The fourth proportional to 2,995.60, 4,135.66 and 2,281.84 is: 3,150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.60 : 4,135.66 = 2,281.84 : x
  2. Step 2: Convert to fraction form
    2,995.60/4,135.66 = 2,281.84/x
  3. Step 3: Cross multiply
    2,995.60x = 4,135.66 × 2,281.84
  4. Step 4: Simplify right side
    2,995.60x = 9,436,914.41
  5. Step 5: Solve for x
    x = 9,436,914.41/2,995.60
  6. Step 6: Final answer
    x = 3,150.26

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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.