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Finding the Fourth Proportional to 2,685.12, 4,027.76 and 953.76

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Solution

The fourth proportional to 2,685.12, 4,027.76 and 953.76 is: 1,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.12 : 4,027.76 = 953.76 : x
  2. Step 2: Convert to fraction form
    2,685.12/4,027.76 = 953.76/x
  3. Step 3: Cross multiply
    2,685.12x = 4,027.76 × 953.76
  4. Step 4: Simplify right side
    2,685.12x = 3,841,516.38
  5. Step 5: Solve for x
    x = 3,841,516.38/2,685.12
  6. Step 6: Final answer
    x = 1,430.67

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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.