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Finding the Fourth Proportional to 2,835.65, 4,248.60 and 2,288.09

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Solution

The fourth proportional to 2,835.65, 4,248.60 and 2,288.09 is: 3,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.65 : 4,248.60 = 2,288.09 : x
  2. Step 2: Convert to fraction form
    2,835.65/4,248.60 = 2,288.09/x
  3. Step 3: Cross multiply
    2,835.65x = 4,248.60 × 2,288.09
  4. Step 4: Simplify right side
    2,835.65x = 9,721,157.93
  5. Step 5: Solve for x
    x = 9,721,157.93/2,835.65
  6. Step 6: Final answer
    x = 3,428.20

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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.