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Finding the Fourth Proportional to 3,102.67, 4,281.76 and 1,776.50

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Solution

The fourth proportional to 3,102.67, 4,281.76 and 1,776.50 is: 2,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.67 : 4,281.76 = 1,776.50 : x
  2. Step 2: Convert to fraction form
    3,102.67/4,281.76 = 1,776.50/x
  3. Step 3: Cross multiply
    3,102.67x = 4,281.76 × 1,776.50
  4. Step 4: Simplify right side
    3,102.67x = 7,606,546.64
  5. Step 5: Solve for x
    x = 7,606,546.64/3,102.67
  6. Step 6: Final answer
    x = 2,451.61

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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.