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Finding the Fourth Proportional to 1,546.41, 2,318.91 and 668.50

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Solution

The fourth proportional to 1,546.41, 2,318.91 and 668.50 is: 1,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.41 : 2,318.91 = 668.50 : x
  2. Step 2: Convert to fraction form
    1,546.41/2,318.91 = 668.50/x
  3. Step 3: Cross multiply
    1,546.41x = 2,318.91 × 668.50
  4. Step 4: Simplify right side
    1,546.41x = 1,550,191.34
  5. Step 5: Solve for x
    x = 1,550,191.34/1,546.41
  6. Step 6: Final answer
    x = 1,002.45

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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.