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Finding the Fourth Proportional to 2,168.53, 3,248.88 and 1,857.34

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Solution

The fourth proportional to 2,168.53, 3,248.88 and 1,857.34 is: 2,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.53 : 3,248.88 = 1,857.34 : x
  2. Step 2: Convert to fraction form
    2,168.53/3,248.88 = 1,857.34/x
  3. Step 3: Cross multiply
    2,168.53x = 3,248.88 × 1,857.34
  4. Step 4: Simplify right side
    2,168.53x = 6,034,274.78
  5. Step 5: Solve for x
    x = 6,034,274.78/2,168.53
  6. Step 6: Final answer
    x = 2,782.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.