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Finding the Fourth Proportional to 2,617.78, 3,615.74 and 1,957.57

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Solution

The fourth proportional to 2,617.78, 3,615.74 and 1,957.57 is: 2,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.78 : 3,615.74 = 1,957.57 : x
  2. Step 2: Convert to fraction form
    2,617.78/3,615.74 = 1,957.57/x
  3. Step 3: Cross multiply
    2,617.78x = 3,615.74 × 1,957.57
  4. Step 4: Simplify right side
    2,617.78x = 7,078,069.05
  5. Step 5: Solve for x
    x = 7,078,069.05/2,617.78
  6. Step 6: Final answer
    x = 2,703.84

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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.