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Finding the Fourth Proportional to 2,222.84, 3,329.94 and 1,451

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Solution

The fourth proportional to 2,222.84, 3,329.94 and 1,451 is: 2,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.84 : 3,329.94 = 1,451 : x
  2. Step 2: Convert to fraction form
    2,222.84/3,329.94 = 1,451/x
  3. Step 3: Cross multiply
    2,222.84x = 3,329.94 × 1,451
  4. Step 4: Simplify right side
    2,222.84x = 4,831,742.94
  5. Step 5: Solve for x
    x = 4,831,742.94/2,222.84
  6. Step 6: Final answer
    x = 2,173.68

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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.