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Finding the Fourth Proportional to 2,685.72, 3,706.36 and 1,506.88

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Solution

The fourth proportional to 2,685.72, 3,706.36 and 1,506.88 is: 2,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.72 : 3,706.36 = 1,506.88 : x
  2. Step 2: Convert to fraction form
    2,685.72/3,706.36 = 1,506.88/x
  3. Step 3: Cross multiply
    2,685.72x = 3,706.36 × 1,506.88
  4. Step 4: Simplify right side
    2,685.72x = 5,585,026.72
  5. Step 5: Solve for x
    x = 5,585,026.72/2,685.72
  6. Step 6: Final answer
    x = 2,079.53

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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.