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Finding the Fourth Proportional to 2,000.96, 2,762.96 and 1,482.56

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Solution

The fourth proportional to 2,000.96, 2,762.96 and 1,482.56 is: 2,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.96 : 2,762.96 = 1,482.56 : x
  2. Step 2: Convert to fraction form
    2,000.96/2,762.96 = 1,482.56/x
  3. Step 3: Cross multiply
    2,000.96x = 2,762.96 × 1,482.56
  4. Step 4: Simplify right side
    2,000.96x = 4,096,253.98
  5. Step 5: Solve for x
    x = 4,096,253.98/2,000.96
  6. Step 6: Final answer
    x = 2,047.14

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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.