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Finding the Fourth Proportional to 2,274.24, 3,410.61 and 734.88

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Solution

The fourth proportional to 2,274.24, 3,410.61 and 734.88 is: 1,102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.24 : 3,410.61 = 734.88 : x
  2. Step 2: Convert to fraction form
    2,274.24/3,410.61 = 734.88/x
  3. Step 3: Cross multiply
    2,274.24x = 3,410.61 × 734.88
  4. Step 4: Simplify right side
    2,274.24x = 2,506,389.08
  5. Step 5: Solve for x
    x = 2,506,389.08/2,274.24
  6. Step 6: Final answer
    x = 1,102.08

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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.