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Finding the Fourth Proportional to 1,686.29, 2,529.43 and 1,409.27

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Solution

The fourth proportional to 1,686.29, 2,529.43 and 1,409.27 is: 2,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.29 : 2,529.43 = 1,409.27 : x
  2. Step 2: Convert to fraction form
    1,686.29/2,529.43 = 1,409.27/x
  3. Step 3: Cross multiply
    1,686.29x = 2,529.43 × 1,409.27
  4. Step 4: Simplify right side
    1,686.29x = 3,564,633.65
  5. Step 5: Solve for x
    x = 3,564,633.65/1,686.29
  6. Step 6: Final answer
    x = 2,113.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.