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Finding the Fourth Proportional to 3,176.69, 4,387.43 and 2,166.67

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Solution

The fourth proportional to 3,176.69, 4,387.43 and 2,166.67 is: 2,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.69 : 4,387.43 = 2,166.67 : x
  2. Step 2: Convert to fraction form
    3,176.69/4,387.43 = 2,166.67/x
  3. Step 3: Cross multiply
    3,176.69x = 4,387.43 × 2,166.67
  4. Step 4: Simplify right side
    3,176.69x = 9,506,112.96
  5. Step 5: Solve for x
    x = 9,506,112.96/3,176.69
  6. Step 6: Final answer
    x = 2,992.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.