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Finding the Fourth Proportional to 2,706.04, 3,684.40 and 2,697.40

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Solution

The fourth proportional to 2,706.04, 3,684.40 and 2,697.40 is: 3,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.04 : 3,684.40 = 2,697.40 : x
  2. Step 2: Convert to fraction form
    2,706.04/3,684.40 = 2,697.40/x
  3. Step 3: Cross multiply
    2,706.04x = 3,684.40 × 2,697.40
  4. Step 4: Simplify right side
    2,706.04x = 9,938,300.56
  5. Step 5: Solve for x
    x = 9,938,300.56/2,706.04
  6. Step 6: Final answer
    x = 3,672.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.