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Finding the Fourth Proportional to 3,071.82, 4,606.65 and 1,123.50

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Solution

The fourth proportional to 3,071.82, 4,606.65 and 1,123.50 is: 1,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.82 : 4,606.65 = 1,123.50 : x
  2. Step 2: Convert to fraction form
    3,071.82/4,606.65 = 1,123.50/x
  3. Step 3: Cross multiply
    3,071.82x = 4,606.65 × 1,123.50
  4. Step 4: Simplify right side
    3,071.82x = 5,175,571.28
  5. Step 5: Solve for x
    x = 5,175,571.28/3,071.82
  6. Step 6: Final answer
    x = 1,684.85

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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.