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Finding the Fourth Proportional to 3,185.53, 4,770.70 and 1,536.77

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Solution

The fourth proportional to 3,185.53, 4,770.70 and 1,536.77 is: 2,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.53 : 4,770.70 = 1,536.77 : x
  2. Step 2: Convert to fraction form
    3,185.53/4,770.70 = 1,536.77/x
  3. Step 3: Cross multiply
    3,185.53x = 4,770.70 × 1,536.77
  4. Step 4: Simplify right side
    3,185.53x = 7,331,476.72
  5. Step 5: Solve for x
    x = 7,331,476.72/3,185.53
  6. Step 6: Final answer
    x = 2,301.50

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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.