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Finding the Fourth Proportional to 3,021.13, 4,530.99 and 830.02

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Solution

The fourth proportional to 3,021.13, 4,530.99 and 830.02 is: 1,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.13 : 4,530.99 = 830.02 : x
  2. Step 2: Convert to fraction form
    3,021.13/4,530.99 = 830.02/x
  3. Step 3: Cross multiply
    3,021.13x = 4,530.99 × 830.02
  4. Step 4: Simplify right side
    3,021.13x = 3,760,812.32
  5. Step 5: Solve for x
    x = 3,760,812.32/3,021.13
  6. Step 6: Final answer
    x = 1,244.84

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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.