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Finding the Fourth Proportional to 3,006, 4,509.54 and 1,445.04

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Solution

The fourth proportional to 3,006, 4,509.54 and 1,445.04 is: 2,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,509.54 = 1,445.04 : x
  2. Step 2: Convert to fraction form
    3,006/4,509.54 = 1,445.04/x
  3. Step 3: Cross multiply
    3,006x = 4,509.54 × 1,445.04
  4. Step 4: Simplify right side
    3,006x = 6,516,465.68
  5. Step 5: Solve for x
    x = 6,516,465.68/3,006
  6. Step 6: Final answer
    x = 2,167.82

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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.