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Finding the Fourth Proportional to 2,945.76, 4,065.21 and 1,686.67

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Solution

The fourth proportional to 2,945.76, 4,065.21 and 1,686.67 is: 2,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.76 : 4,065.21 = 1,686.67 : x
  2. Step 2: Convert to fraction form
    2,945.76/4,065.21 = 1,686.67/x
  3. Step 3: Cross multiply
    2,945.76x = 4,065.21 × 1,686.67
  4. Step 4: Simplify right side
    2,945.76x = 6,856,657.59
  5. Step 5: Solve for x
    x = 6,856,657.59/2,945.76
  6. Step 6: Final answer
    x = 2,327.64

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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.