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Finding the Fourth Proportional to 3,002.37, 4,502.11 and 1,419.77

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Solution

The fourth proportional to 3,002.37, 4,502.11 and 1,419.77 is: 2,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.37 : 4,502.11 = 1,419.77 : x
  2. Step 2: Convert to fraction form
    3,002.37/4,502.11 = 1,419.77/x
  3. Step 3: Cross multiply
    3,002.37x = 4,502.11 × 1,419.77
  4. Step 4: Simplify right side
    3,002.37x = 6,391,960.71
  5. Step 5: Solve for x
    x = 6,391,960.71/3,002.37
  6. Step 6: Final answer
    x = 2,128.97

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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.