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Finding the Fourth Proportional to 2,656.34, 3,984.47 and 1,194.46

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Solution

The fourth proportional to 2,656.34, 3,984.47 and 1,194.46 is: 1,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.34 : 3,984.47 = 1,194.46 : x
  2. Step 2: Convert to fraction form
    2,656.34/3,984.47 = 1,194.46/x
  3. Step 3: Cross multiply
    2,656.34x = 3,984.47 × 1,194.46
  4. Step 4: Simplify right side
    2,656.34x = 4,759,270.11
  5. Step 5: Solve for x
    x = 4,759,270.11/2,656.34
  6. Step 6: Final answer
    x = 1,791.67

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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.