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Finding the Fourth Proportional to 2,426.19, 3,639.36 and 782.75

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Solution

The fourth proportional to 2,426.19, 3,639.36 and 782.75 is: 1,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.19 : 3,639.36 = 782.75 : x
  2. Step 2: Convert to fraction form
    2,426.19/3,639.36 = 782.75/x
  3. Step 3: Cross multiply
    2,426.19x = 3,639.36 × 782.75
  4. Step 4: Simplify right side
    2,426.19x = 2,848,690.84
  5. Step 5: Solve for x
    x = 2,848,690.84/2,426.19
  6. Step 6: Final answer
    x = 1,174.14

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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.