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Finding the Fourth Proportional to 1,962.28, 2,706.82 and 1,225

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Solution

The fourth proportional to 1,962.28, 2,706.82 and 1,225 is: 1,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.28 : 2,706.82 = 1,225 : x
  2. Step 2: Convert to fraction form
    1,962.28/2,706.82 = 1,225/x
  3. Step 3: Cross multiply
    1,962.28x = 2,706.82 × 1,225
  4. Step 4: Simplify right side
    1,962.28x = 3,315,854.50
  5. Step 5: Solve for x
    x = 3,315,854.50/1,962.28
  6. Step 6: Final answer
    x = 1,689.80

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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.