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Finding the Fourth Proportional to 2,300.65, 3,448.41 and 913.61

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Solution

The fourth proportional to 2,300.65, 3,448.41 and 913.61 is: 1,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.65 : 3,448.41 = 913.61 : x
  2. Step 2: Convert to fraction form
    2,300.65/3,448.41 = 913.61/x
  3. Step 3: Cross multiply
    2,300.65x = 3,448.41 × 913.61
  4. Step 4: Simplify right side
    2,300.65x = 3,150,507.06
  5. Step 5: Solve for x
    x = 3,150,507.06/2,300.65
  6. Step 6: Final answer
    x = 1,369.40

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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.