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Finding the Fourth Proportional to 2,185.93, 3,274.64 and 1,748.10

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Solution

The fourth proportional to 2,185.93, 3,274.64 and 1,748.10 is: 2,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.93 : 3,274.64 = 1,748.10 : x
  2. Step 2: Convert to fraction form
    2,185.93/3,274.64 = 1,748.10/x
  3. Step 3: Cross multiply
    2,185.93x = 3,274.64 × 1,748.10
  4. Step 4: Simplify right side
    2,185.93x = 5,724,398.18
  5. Step 5: Solve for x
    x = 5,724,398.18/2,185.93
  6. Step 6: Final answer
    x = 2,618.75

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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.