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Finding the Fourth Proportional to 2,524.68, 3,484.17 and 1,405.94

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Solution

The fourth proportional to 2,524.68, 3,484.17 and 1,405.94 is: 1,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.68 : 3,484.17 = 1,405.94 : x
  2. Step 2: Convert to fraction form
    2,524.68/3,484.17 = 1,405.94/x
  3. Step 3: Cross multiply
    2,524.68x = 3,484.17 × 1,405.94
  4. Step 4: Simplify right side
    2,524.68x = 4,898,516.55
  5. Step 5: Solve for x
    x = 4,898,516.55/2,524.68
  6. Step 6: Final answer
    x = 1,940.25

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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.