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Finding the Fourth Proportional to 2,704.28, 4,056.68 and 973.04

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Solution

The fourth proportional to 2,704.28, 4,056.68 and 973.04 is: 1,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.28 : 4,056.68 = 973.04 : x
  2. Step 2: Convert to fraction form
    2,704.28/4,056.68 = 973.04/x
  3. Step 3: Cross multiply
    2,704.28x = 4,056.68 × 973.04
  4. Step 4: Simplify right side
    2,704.28x = 3,947,311.91
  5. Step 5: Solve for x
    x = 3,947,311.91/2,704.28
  6. Step 6: Final answer
    x = 1,459.65

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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.