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Finding the Fourth Proportional to 2,428.00, 3,641.69 and 784.37

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Solution

The fourth proportional to 2,428.00, 3,641.69 and 784.37 is: 1,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.00 : 3,641.69 = 784.37 : x
  2. Step 2: Convert to fraction form
    2,428.00/3,641.69 = 784.37/x
  3. Step 3: Cross multiply
    2,428.00x = 3,641.69 × 784.37
  4. Step 4: Simplify right side
    2,428.00x = 2,856,443.45
  5. Step 5: Solve for x
    x = 2,856,443.45/2,428.00
  6. Step 6: Final answer
    x = 1,176.46

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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.