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Finding the Fourth Proportional to 3,002.69, 4,505.65 and 1,463.69

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Solution

The fourth proportional to 3,002.69, 4,505.65 and 1,463.69 is: 2,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.69 : 4,505.65 = 1,463.69 : x
  2. Step 2: Convert to fraction form
    3,002.69/4,505.65 = 1,463.69/x
  3. Step 3: Cross multiply
    3,002.69x = 4,505.65 × 1,463.69
  4. Step 4: Simplify right side
    3,002.69x = 6,594,867.24
  5. Step 5: Solve for x
    x = 6,594,867.24/3,002.69
  6. Step 6: Final answer
    x = 2,196.32

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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.