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Finding the Fourth Proportional to 1,686.52, 2,529.99 and 905.45

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Solution

The fourth proportional to 1,686.52, 2,529.99 and 905.45 is: 1,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.52 : 2,529.99 = 905.45 : x
  2. Step 2: Convert to fraction form
    1,686.52/2,529.99 = 905.45/x
  3. Step 3: Cross multiply
    1,686.52x = 2,529.99 × 905.45
  4. Step 4: Simplify right side
    1,686.52x = 2,290,783.70
  5. Step 5: Solve for x
    x = 2,290,783.70/1,686.52
  6. Step 6: Final answer
    x = 1,358.29

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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.