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Finding the Fourth Proportional to 3,200.16, 4,797.36 and 1,656.48

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Solution

The fourth proportional to 3,200.16, 4,797.36 and 1,656.48 is: 2,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.16 : 4,797.36 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    3,200.16/4,797.36 = 1,656.48/x
  3. Step 3: Cross multiply
    3,200.16x = 4,797.36 × 1,656.48
  4. Step 4: Simplify right side
    3,200.16x = 7,946,730.89
  5. Step 5: Solve for x
    x = 7,946,730.89/3,200.16
  6. Step 6: Final answer
    x = 2,483.23

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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.