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Finding the Fourth Proportional to 2,470.02, 3,704.82 and 738.64

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Solution

The fourth proportional to 2,470.02, 3,704.82 and 738.64 is: 1,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.02 : 3,704.82 = 738.64 : x
  2. Step 2: Convert to fraction form
    2,470.02/3,704.82 = 738.64/x
  3. Step 3: Cross multiply
    2,470.02x = 3,704.82 × 738.64
  4. Step 4: Simplify right side
    2,470.02x = 2,736,528.24
  5. Step 5: Solve for x
    x = 2,736,528.24/2,470.02
  6. Step 6: Final answer
    x = 1,107.90

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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.