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Finding the Fourth Proportional to 3,046.60, 4,564.14 and 2,122.84

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Solution

The fourth proportional to 3,046.60, 4,564.14 and 2,122.84 is: 3,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.60 : 4,564.14 = 2,122.84 : x
  2. Step 2: Convert to fraction form
    3,046.60/4,564.14 = 2,122.84/x
  3. Step 3: Cross multiply
    3,046.60x = 4,564.14 × 2,122.84
  4. Step 4: Simplify right side
    3,046.60x = 9,688,938.96
  5. Step 5: Solve for x
    x = 9,688,938.96/3,046.60
  6. Step 6: Final answer
    x = 3,180.25

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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.