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Finding the Fourth Proportional to 2,706.47, 3,737.60 and 1,869.34

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Solution

The fourth proportional to 2,706.47, 3,737.60 and 1,869.34 is: 2,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.47 : 3,737.60 = 1,869.34 : x
  2. Step 2: Convert to fraction form
    2,706.47/3,737.60 = 1,869.34/x
  3. Step 3: Cross multiply
    2,706.47x = 3,737.60 × 1,869.34
  4. Step 4: Simplify right side
    2,706.47x = 6,986,845.18
  5. Step 5: Solve for x
    x = 6,986,845.18/2,706.47
  6. Step 6: Final answer
    x = 2,581.53

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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.