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Finding the Fourth Proportional to 4,656.15, 6,983.01 and 2,189.70

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Solution

The fourth proportional to 4,656.15, 6,983.01 and 2,189.70 is: 3,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.15 : 6,983.01 = 2,189.70 : x
  2. Step 2: Convert to fraction form
    4,656.15/6,983.01 = 2,189.70/x
  3. Step 3: Cross multiply
    4,656.15x = 6,983.01 × 2,189.70
  4. Step 4: Simplify right side
    4,656.15x = 15,290,697.00
  5. Step 5: Solve for x
    x = 15,290,697.00/4,656.15
  6. Step 6: Final answer
    x = 3,283.98

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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.