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Finding the Fourth Proportional to 2,199.93, 3,300.48 and 902.31

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Solution

The fourth proportional to 2,199.93, 3,300.48 and 902.31 is: 1,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.93 : 3,300.48 = 902.31 : x
  2. Step 2: Convert to fraction form
    2,199.93/3,300.48 = 902.31/x
  3. Step 3: Cross multiply
    2,199.93x = 3,300.48 × 902.31
  4. Step 4: Simplify right side
    2,199.93x = 2,978,056.11
  5. Step 5: Solve for x
    x = 2,978,056.11/2,199.93
  6. Step 6: Final answer
    x = 1,353.70

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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.