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Finding the Fourth Proportional to 3,066.75, 4,598.37 and 1,422.45

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Solution

The fourth proportional to 3,066.75, 4,598.37 and 1,422.45 is: 2,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.75 : 4,598.37 = 1,422.45 : x
  2. Step 2: Convert to fraction form
    3,066.75/4,598.37 = 1,422.45/x
  3. Step 3: Cross multiply
    3,066.75x = 4,598.37 × 1,422.45
  4. Step 4: Simplify right side
    3,066.75x = 6,540,951.41
  5. Step 5: Solve for x
    x = 6,540,951.41/3,066.75
  6. Step 6: Final answer
    x = 2,132.86

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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.