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Finding the Fourth Proportional to 3,090, 4,635.18 and 1,242.12

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Solution

The fourth proportional to 3,090, 4,635.18 and 1,242.12 is: 1,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090 : 4,635.18 = 1,242.12 : x
  2. Step 2: Convert to fraction form
    3,090/4,635.18 = 1,242.12/x
  3. Step 3: Cross multiply
    3,090x = 4,635.18 × 1,242.12
  4. Step 4: Simplify right side
    3,090x = 5,757,449.78
  5. Step 5: Solve for x
    x = 5,757,449.78/3,090
  6. Step 6: Final answer
    x = 1,863.25

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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.