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Finding the Fourth Proportional to 2,428.25, 3,642.06 and 784.63

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Solution

The fourth proportional to 2,428.25, 3,642.06 and 784.63 is: 1,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.25 : 3,642.06 = 784.63 : x
  2. Step 2: Convert to fraction form
    2,428.25/3,642.06 = 784.63/x
  3. Step 3: Cross multiply
    2,428.25x = 3,642.06 × 784.63
  4. Step 4: Simplify right side
    2,428.25x = 2,857,669.54
  5. Step 5: Solve for x
    x = 2,857,669.54/2,428.25
  6. Step 6: Final answer
    x = 1,176.84

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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.