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Finding the Fourth Proportional to 1,686.70, 2,329.86 and 1,293.04

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Solution

The fourth proportional to 1,686.70, 2,329.86 and 1,293.04 is: 1,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.70 : 2,329.86 = 1,293.04 : x
  2. Step 2: Convert to fraction form
    1,686.70/2,329.86 = 1,293.04/x
  3. Step 3: Cross multiply
    1,686.70x = 2,329.86 × 1,293.04
  4. Step 4: Simplify right side
    1,686.70x = 3,012,602.17
  5. Step 5: Solve for x
    x = 3,012,602.17/1,686.70
  6. Step 6: Final answer
    x = 1,786.09

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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.