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Finding the Fourth Proportional to 2,662.40, 3,674.88 and 1,614.08

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Solution

The fourth proportional to 2,662.40, 3,674.88 and 1,614.08 is: 2,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.40 : 3,674.88 = 1,614.08 : x
  2. Step 2: Convert to fraction form
    2,662.40/3,674.88 = 1,614.08/x
  3. Step 3: Cross multiply
    2,662.40x = 3,674.88 × 1,614.08
  4. Step 4: Simplify right side
    2,662.40x = 5,931,550.31
  5. Step 5: Solve for x
    x = 5,931,550.31/2,662.40
  6. Step 6: Final answer
    x = 2,227.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.