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Finding the Fourth Proportional to 1,962.44, 2,706.72 and 1,700

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Solution

The fourth proportional to 1,962.44, 2,706.72 and 1,700 is: 2,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.44 : 2,706.72 = 1,700 : x
  2. Step 2: Convert to fraction form
    1,962.44/2,706.72 = 1,700/x
  3. Step 3: Cross multiply
    1,962.44x = 2,706.72 × 1,700
  4. Step 4: Simplify right side
    1,962.44x = 4,601,424
  5. Step 5: Solve for x
    x = 4,601,424/1,962.44
  6. Step 6: Final answer
    x = 2,344.75

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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.