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Finding the Fourth Proportional to 2,417.24, 3,626.22 and 773.48

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Solution

The fourth proportional to 2,417.24, 3,626.22 and 773.48 is: 1,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.24 : 3,626.22 = 773.48 : x
  2. Step 2: Convert to fraction form
    2,417.24/3,626.22 = 773.48/x
  3. Step 3: Cross multiply
    2,417.24x = 3,626.22 × 773.48
  4. Step 4: Simplify right side
    2,417.24x = 2,804,808.65
  5. Step 5: Solve for x
    x = 2,804,808.65/2,417.24
  6. Step 6: Final answer
    x = 1,160.34

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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.