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Finding the Fourth Proportional to 2,706.49, 4,056.60 and 1,225.42

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Solution

The fourth proportional to 2,706.49, 4,056.60 and 1,225.42 is: 1,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.49 : 4,056.60 = 1,225.42 : x
  2. Step 2: Convert to fraction form
    2,706.49/4,056.60 = 1,225.42/x
  3. Step 3: Cross multiply
    2,706.49x = 4,056.60 × 1,225.42
  4. Step 4: Simplify right side
    2,706.49x = 4,971,038.77
  5. Step 5: Solve for x
    x = 4,971,038.77/2,706.49
  6. Step 6: Final answer
    x = 1,836.71

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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.