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Finding the Fourth Proportional to 2,678.06, 3,684.72 and 2,615.88

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Solution

The fourth proportional to 2,678.06, 3,684.72 and 2,615.88 is: 3,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.06 : 3,684.72 = 2,615.88 : x
  2. Step 2: Convert to fraction form
    2,678.06/3,684.72 = 2,615.88/x
  3. Step 3: Cross multiply
    2,678.06x = 3,684.72 × 2,615.88
  4. Step 4: Simplify right side
    2,678.06x = 9,638,785.35
  5. Step 5: Solve for x
    x = 9,638,785.35/2,678.06
  6. Step 6: Final answer
    x = 3,599.17

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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.