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Finding the Fourth Proportional to 1,706.15, 2,562.72 and 1,121.98

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Solution

The fourth proportional to 1,706.15, 2,562.72 and 1,121.98 is: 1,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.15 : 2,562.72 = 1,121.98 : x
  2. Step 2: Convert to fraction form
    1,706.15/2,562.72 = 1,121.98/x
  3. Step 3: Cross multiply
    1,706.15x = 2,562.72 × 1,121.98
  4. Step 4: Simplify right side
    1,706.15x = 2,875,318.59
  5. Step 5: Solve for x
    x = 2,875,318.59/1,706.15
  6. Step 6: Final answer
    x = 1,685.27

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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.