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Finding the Fourth Proportional to 1,673.84, 2,509.82 and 686.39

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Solution

The fourth proportional to 1,673.84, 2,509.82 and 686.39 is: 1,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.84 : 2,509.82 = 686.39 : x
  2. Step 2: Convert to fraction form
    1,673.84/2,509.82 = 686.39/x
  3. Step 3: Cross multiply
    1,673.84x = 2,509.82 × 686.39
  4. Step 4: Simplify right side
    1,673.84x = 1,722,704.52
  5. Step 5: Solve for x
    x = 1,722,704.52/1,673.84
  6. Step 6: Final answer
    x = 1,029.19

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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.