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Finding the Fourth Proportional to 2,842.40, 4,243.30 and 2,404.88

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Solution

The fourth proportional to 2,842.40, 4,243.30 and 2,404.88 is: 3,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.40 : 4,243.30 = 2,404.88 : x
  2. Step 2: Convert to fraction form
    2,842.40/4,243.30 = 2,404.88/x
  3. Step 3: Cross multiply
    2,842.40x = 4,243.30 × 2,404.88
  4. Step 4: Simplify right side
    2,842.40x = 10,204,627.30
  5. Step 5: Solve for x
    x = 10,204,627.30/2,842.40
  6. Step 6: Final answer
    x = 3,590.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.