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Finding the Fourth Proportional to 2,712.40, 4,056.24 and 1,974.40

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Solution

The fourth proportional to 2,712.40, 4,056.24 and 1,974.40 is: 2,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.40 : 4,056.24 = 1,974.40 : x
  2. Step 2: Convert to fraction form
    2,712.40/4,056.24 = 1,974.40/x
  3. Step 3: Cross multiply
    2,712.40x = 4,056.24 × 1,974.40
  4. Step 4: Simplify right side
    2,712.40x = 8,008,640.26
  5. Step 5: Solve for x
    x = 8,008,640.26/2,712.40
  6. Step 6: Final answer
    x = 2,952.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.