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Finding the Fourth Proportional to 2,974.34, 4,464.42 and 1,415.40

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Solution

The fourth proportional to 2,974.34, 4,464.42 and 1,415.40 is: 2,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.34 : 4,464.42 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    2,974.34/4,464.42 = 1,415.40/x
  3. Step 3: Cross multiply
    2,974.34x = 4,464.42 × 1,415.40
  4. Step 4: Simplify right side
    2,974.34x = 6,318,940.07
  5. Step 5: Solve for x
    x = 6,318,940.07/2,974.34
  6. Step 6: Final answer
    x = 2,124.48

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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.