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Finding the Fourth Proportional to 2,428.65, 3,644.76 and 948.09

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Solution

The fourth proportional to 2,428.65, 3,644.76 and 948.09 is: 1,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.65 : 3,644.76 = 948.09 : x
  2. Step 2: Convert to fraction form
    2,428.65/3,644.76 = 948.09/x
  3. Step 3: Cross multiply
    2,428.65x = 3,644.76 × 948.09
  4. Step 4: Simplify right side
    2,428.65x = 3,455,560.51
  5. Step 5: Solve for x
    x = 3,455,560.51/2,428.65
  6. Step 6: Final answer
    x = 1,422.83

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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.