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Finding the Fourth Proportional to 2,417.51, 3,626.24 and 956.65

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Solution

The fourth proportional to 2,417.51, 3,626.24 and 956.65 is: 1,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.51 : 3,626.24 = 956.65 : x
  2. Step 2: Convert to fraction form
    2,417.51/3,626.24 = 956.65/x
  3. Step 3: Cross multiply
    2,417.51x = 3,626.24 × 956.65
  4. Step 4: Simplify right side
    2,417.51x = 3,469,028.65
  5. Step 5: Solve for x
    x = 3,469,028.65/2,417.51
  6. Step 6: Final answer
    x = 1,434.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.