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Finding the Fourth Proportional to 3,101.76, 4,280.46 and 1,704.50

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Solution

The fourth proportional to 3,101.76, 4,280.46 and 1,704.50 is: 2,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.76 : 4,280.46 = 1,704.50 : x
  2. Step 2: Convert to fraction form
    3,101.76/4,280.46 = 1,704.50/x
  3. Step 3: Cross multiply
    3,101.76x = 4,280.46 × 1,704.50
  4. Step 4: Simplify right side
    3,101.76x = 7,296,044.07
  5. Step 5: Solve for x
    x = 7,296,044.07/3,101.76
  6. Step 6: Final answer
    x = 2,352.23

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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.