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Finding the Fourth Proportional to 1,734.10, 2,396.10 and 1,364.02

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Solution

The fourth proportional to 1,734.10, 2,396.10 and 1,364.02 is: 1,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.10 : 2,396.10 = 1,364.02 : x
  2. Step 2: Convert to fraction form
    1,734.10/2,396.10 = 1,364.02/x
  3. Step 3: Cross multiply
    1,734.10x = 2,396.10 × 1,364.02
  4. Step 4: Simplify right side
    1,734.10x = 3,268,328.32
  5. Step 5: Solve for x
    x = 3,268,328.32/1,734.10
  6. Step 6: Final answer
    x = 1,884.74

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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.