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Finding the Fourth Proportional to 2,942.84, 4,410.12 and 2,323.82

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Solution

The fourth proportional to 2,942.84, 4,410.12 and 2,323.82 is: 3,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.84 : 4,410.12 = 2,323.82 : x
  2. Step 2: Convert to fraction form
    2,942.84/4,410.12 = 2,323.82/x
  3. Step 3: Cross multiply
    2,942.84x = 4,410.12 × 2,323.82
  4. Step 4: Simplify right side
    2,942.84x = 10,248,325.06
  5. Step 5: Solve for x
    x = 10,248,325.06/2,942.84
  6. Step 6: Final answer
    x = 3,482.46

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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.