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Finding the Fourth Proportional to 1,685.62, 2,529.06 and 1,070.92

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Solution

The fourth proportional to 1,685.62, 2,529.06 and 1,070.92 is: 1,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.62 : 2,529.06 = 1,070.92 : x
  2. Step 2: Convert to fraction form
    1,685.62/2,529.06 = 1,070.92/x
  3. Step 3: Cross multiply
    1,685.62x = 2,529.06 × 1,070.92
  4. Step 4: Simplify right side
    1,685.62x = 2,708,420.94
  5. Step 5: Solve for x
    x = 2,708,420.94/1,685.62
  6. Step 6: Final answer
    x = 1,606.78

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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.