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Finding the Fourth Proportional to 2,426.57, 3,636.42 and 964.01

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Solution

The fourth proportional to 2,426.57, 3,636.42 and 964.01 is: 1,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.57 : 3,636.42 = 964.01 : x
  2. Step 2: Convert to fraction form
    2,426.57/3,636.42 = 964.01/x
  3. Step 3: Cross multiply
    2,426.57x = 3,636.42 × 964.01
  4. Step 4: Simplify right side
    2,426.57x = 3,505,527.06
  5. Step 5: Solve for x
    x = 3,505,527.06/2,426.57
  6. Step 6: Final answer
    x = 1,444.65

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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.