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Finding the Fourth Proportional to 3,216.70, 4,829.10 and 1,737.10

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Solution

The fourth proportional to 3,216.70, 4,829.10 and 1,737.10 is: 2,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.70 : 4,829.10 = 1,737.10 : x
  2. Step 2: Convert to fraction form
    3,216.70/4,829.10 = 1,737.10/x
  3. Step 3: Cross multiply
    3,216.70x = 4,829.10 × 1,737.10
  4. Step 4: Simplify right side
    3,216.70x = 8,388,629.61
  5. Step 5: Solve for x
    x = 8,388,629.61/3,216.70
  6. Step 6: Final answer
    x = 2,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.