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Finding the Fourth Proportional to 2,830.64, 4,242.24 and 2,539.04

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Solution

The fourth proportional to 2,830.64, 4,242.24 and 2,539.04 is: 3,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.64 : 4,242.24 = 2,539.04 : x
  2. Step 2: Convert to fraction form
    2,830.64/4,242.24 = 2,539.04/x
  3. Step 3: Cross multiply
    2,830.64x = 4,242.24 × 2,539.04
  4. Step 4: Simplify right side
    2,830.64x = 10,771,217.05
  5. Step 5: Solve for x
    x = 10,771,217.05/2,830.64
  6. Step 6: Final answer
    x = 3,805.22

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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.