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Finding the Fourth Proportional to 3,074.12, 4,242.16 and 1,815.21

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Solution

The fourth proportional to 3,074.12, 4,242.16 and 1,815.21 is: 2,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.12 : 4,242.16 = 1,815.21 : x
  2. Step 2: Convert to fraction form
    3,074.12/4,242.16 = 1,815.21/x
  3. Step 3: Cross multiply
    3,074.12x = 4,242.16 × 1,815.21
  4. Step 4: Simplify right side
    3,074.12x = 7,700,411.25
  5. Step 5: Solve for x
    x = 7,700,411.25/3,074.12
  6. Step 6: Final answer
    x = 2,504.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.