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Finding the Fourth Proportional to 2,326.51, 3,490.09 and 683.17

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Solution

The fourth proportional to 2,326.51, 3,490.09 and 683.17 is: 1,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.51 : 3,490.09 = 683.17 : x
  2. Step 2: Convert to fraction form
    2,326.51/3,490.09 = 683.17/x
  3. Step 3: Cross multiply
    2,326.51x = 3,490.09 × 683.17
  4. Step 4: Simplify right side
    2,326.51x = 2,384,321.37
  5. Step 5: Solve for x
    x = 2,384,321.37/2,326.51
  6. Step 6: Final answer
    x = 1,024.85

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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.