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Finding the Fourth Proportional to 2,329.94, 3,495.27 and 686.27

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Solution

The fourth proportional to 2,329.94, 3,495.27 and 686.27 is: 1,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.94 : 3,495.27 = 686.27 : x
  2. Step 2: Convert to fraction form
    2,329.94/3,495.27 = 686.27/x
  3. Step 3: Cross multiply
    2,329.94x = 3,495.27 × 686.27
  4. Step 4: Simplify right side
    2,329.94x = 2,398,681.47
  5. Step 5: Solve for x
    x = 2,398,681.47/2,329.94
  6. Step 6: Final answer
    x = 1,029.51

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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.