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Finding the Fourth Proportional to 3,007.60, 4,509.63 and 1,446.90

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Solution

The fourth proportional to 3,007.60, 4,509.63 and 1,446.90 is: 2,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.60 : 4,509.63 = 1,446.90 : x
  2. Step 2: Convert to fraction form
    3,007.60/4,509.63 = 1,446.90/x
  3. Step 3: Cross multiply
    3,007.60x = 4,509.63 × 1,446.90
  4. Step 4: Simplify right side
    3,007.60x = 6,524,983.65
  5. Step 5: Solve for x
    x = 6,524,983.65/3,007.60
  6. Step 6: Final answer
    x = 2,169.50

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1.5x scale

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.