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Finding the Fourth Proportional to 2,704.87, 4,056.48 and 1,405.63

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Solution

The fourth proportional to 2,704.87, 4,056.48 and 1,405.63 is: 2,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.87 : 4,056.48 = 1,405.63 : x
  2. Step 2: Convert to fraction form
    2,704.87/4,056.48 = 1,405.63/x
  3. Step 3: Cross multiply
    2,704.87x = 4,056.48 × 1,405.63
  4. Step 4: Simplify right side
    2,704.87x = 5,701,909.98
  5. Step 5: Solve for x
    x = 5,701,909.98/2,704.87
  6. Step 6: Final answer
    x = 2,108.02

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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.