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Finding the Fourth Proportional to 1,686.62, 2,329.80 and 1,529.43

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Solution

The fourth proportional to 1,686.62, 2,329.80 and 1,529.43 is: 2,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.62 : 2,329.80 = 1,529.43 : x
  2. Step 2: Convert to fraction form
    1,686.62/2,329.80 = 1,529.43/x
  3. Step 3: Cross multiply
    1,686.62x = 2,329.80 × 1,529.43
  4. Step 4: Simplify right side
    1,686.62x = 3,563,255.84
  5. Step 5: Solve for x
    x = 3,563,255.84/1,686.62
  6. Step 6: Final answer
    x = 2,112.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.