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Finding the Fourth Proportional to 2,428.94, 3,646.74 and 1,259.75

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Solution

The fourth proportional to 2,428.94, 3,646.74 and 1,259.75 is: 1,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.94 : 3,646.74 = 1,259.75 : x
  2. Step 2: Convert to fraction form
    2,428.94/3,646.74 = 1,259.75/x
  3. Step 3: Cross multiply
    2,428.94x = 3,646.74 × 1,259.75
  4. Step 4: Simplify right side
    2,428.94x = 4,593,994.56
  5. Step 5: Solve for x
    x = 4,593,994.56/2,428.94
  6. Step 6: Final answer
    x = 1,891.36

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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.