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Finding the Fourth Proportional to 2,325.42, 3,494.70 and 1,755.18

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Solution

The fourth proportional to 2,325.42, 3,494.70 and 1,755.18 is: 2,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.42 : 3,494.70 = 1,755.18 : x
  2. Step 2: Convert to fraction form
    2,325.42/3,494.70 = 1,755.18/x
  3. Step 3: Cross multiply
    2,325.42x = 3,494.70 × 1,755.18
  4. Step 4: Simplify right side
    2,325.42x = 6,133,827.55
  5. Step 5: Solve for x
    x = 6,133,827.55/2,325.42
  6. Step 6: Final answer
    x = 2,637.73

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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.