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Finding the Fourth Proportional to 3,038.25, 4,558.19 and 1,499.25

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Solution

The fourth proportional to 3,038.25, 4,558.19 and 1,499.25 is: 2,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.25 : 4,558.19 = 1,499.25 : x
  2. Step 2: Convert to fraction form
    3,038.25/4,558.19 = 1,499.25/x
  3. Step 3: Cross multiply
    3,038.25x = 4,558.19 × 1,499.25
  4. Step 4: Simplify right side
    3,038.25x = 6,833,858.86
  5. Step 5: Solve for x
    x = 6,833,858.86/3,038.25
  6. Step 6: Final answer
    x = 2,249.27

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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.