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Finding the Fourth Proportional to 2,746.89, 4,120.34 and 666.89

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Solution

The fourth proportional to 2,746.89, 4,120.34 and 666.89 is: 1,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.89 : 4,120.34 = 666.89 : x
  2. Step 2: Convert to fraction form
    2,746.89/4,120.34 = 666.89/x
  3. Step 3: Cross multiply
    2,746.89x = 4,120.34 × 666.89
  4. Step 4: Simplify right side
    2,746.89x = 2,747,794.61
  5. Step 5: Solve for x
    x = 2,747,794.61/2,746.89
  6. Step 6: Final answer
    x = 1,000.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.