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Finding the Fourth Proportional to 2,310.42, 3,467.76 and 1,652.94

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Solution

The fourth proportional to 2,310.42, 3,467.76 and 1,652.94 is: 2,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.42 : 3,467.76 = 1,652.94 : x
  2. Step 2: Convert to fraction form
    2,310.42/3,467.76 = 1,652.94/x
  3. Step 3: Cross multiply
    2,310.42x = 3,467.76 × 1,652.94
  4. Step 4: Simplify right side
    2,310.42x = 5,731,999.21
  5. Step 5: Solve for x
    x = 5,731,999.21/2,310.42
  6. Step 6: Final answer
    x = 2,480.93

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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.