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Finding the Fourth Proportional to 2,428.30, 3,641.68 and 784.54

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Solution

The fourth proportional to 2,428.30, 3,641.68 and 784.54 is: 1,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.30 : 3,641.68 = 784.54 : x
  2. Step 2: Convert to fraction form
    2,428.30/3,641.68 = 784.54/x
  3. Step 3: Cross multiply
    2,428.30x = 3,641.68 × 784.54
  4. Step 4: Simplify right side
    2,428.30x = 2,857,043.63
  5. Step 5: Solve for x
    x = 2,857,043.63/2,428.30
  6. Step 6: Final answer
    x = 1,176.56

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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.