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Finding the Fourth Proportional to 3,071.56, 4,609.47 and 1,222.50

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Solution

The fourth proportional to 3,071.56, 4,609.47 and 1,222.50 is: 1,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.56 : 4,609.47 = 1,222.50 : x
  2. Step 2: Convert to fraction form
    3,071.56/4,609.47 = 1,222.50/x
  3. Step 3: Cross multiply
    3,071.56x = 4,609.47 × 1,222.50
  4. Step 4: Simplify right side
    3,071.56x = 5,635,077.08
  5. Step 5: Solve for x
    x = 5,635,077.08/3,071.56
  6. Step 6: Final answer
    x = 1,834.60

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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.