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Finding the Fourth Proportional to 3,218.02, 4,830.05 and 1,659.10

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Solution

The fourth proportional to 3,218.02, 4,830.05 and 1,659.10 is: 2,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.02 : 4,830.05 = 1,659.10 : x
  2. Step 2: Convert to fraction form
    3,218.02/4,830.05 = 1,659.10/x
  3. Step 3: Cross multiply
    3,218.02x = 4,830.05 × 1,659.10
  4. Step 4: Simplify right side
    3,218.02x = 8,013,535.96
  5. Step 5: Solve for x
    x = 8,013,535.96/3,218.02
  6. Step 6: Final answer
    x = 2,490.21

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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.