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Finding the Fourth Proportional to 3,269.09, 4,903.77 and 1,536.50

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Solution

The fourth proportional to 3,269.09, 4,903.77 and 1,536.50 is: 2,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.09 : 4,903.77 = 1,536.50 : x
  2. Step 2: Convert to fraction form
    3,269.09/4,903.77 = 1,536.50/x
  3. Step 3: Cross multiply
    3,269.09x = 4,903.77 × 1,536.50
  4. Step 4: Simplify right side
    3,269.09x = 7,534,642.61
  5. Step 5: Solve for x
    x = 7,534,642.61/3,269.09
  6. Step 6: Final answer
    x = 2,304.81

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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.